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Finding the Fourth Proportional to 82,950, 114,472.80 and 45,224.40

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Solution

The fourth proportional to 82,950, 114,472.80 and 45,224.40 is: 62,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,950 : 114,472.80 = 45,224.40 : x
  2. Step 2: Convert to fraction form
    82,950/114,472.80 = 45,224.40/x
  3. Step 3: Cross multiply
    82,950x = 114,472.80 × 45,224.40
  4. Step 4: Simplify right side
    82,950x = 5,176,963,696.32
  5. Step 5: Solve for x
    x = 5,176,963,696.32/82,950
  6. Step 6: Final answer
    x = 62,410.65

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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.