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Finding the Fourth Proportional to 82,974,873.92, 114,502,324.96 and 45,804,356.41

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Solution

The fourth proportional to 82,974,873.92, 114,502,324.96 and 45,804,356.41 is: 63,208,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,974,873.92 : 114,502,324.96 = 45,804,356.41 : x
  2. Step 2: Convert to fraction form
    82,974,873.92/114,502,324.96 = 45,804,356.41/x
  3. Step 3: Cross multiply
    82,974,873.92x = 114,502,324.96 × 45,804,356.41
  4. Step 4: Simplify right side
    82,974,873.92x = 5,244,705,302,241,478
  5. Step 5: Solve for x
    x = 5,244,705,302,241,478/82,974,873.92
  6. Step 6: Final answer
    x = 63,208,355.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.