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Finding the Fourth Proportional to 82,974,842.87, 114,502,281.54 and 45,804,324.78

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Solution

The fourth proportional to 82,974,842.87, 114,502,281.54 and 45,804,324.78 is: 63,208,311.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,974,842.87 : 114,502,281.54 = 45,804,324.78 : x
  2. Step 2: Convert to fraction form
    82,974,842.87/114,502,281.54 = 45,804,324.78/x
  3. Step 3: Cross multiply
    82,974,842.87x = 114,502,281.54 × 45,804,324.78
  4. Step 4: Simplify right side
    82,974,842.87x = 5,244,699,691,709,159
  5. Step 5: Solve for x
    x = 5,244,699,691,709,159/82,974,842.87
  6. Step 6: Final answer
    x = 63,208,311.23

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