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Finding the Fourth Proportional to 83,428.38, 115,129.62 and 45,702.36

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Solution

The fourth proportional to 83,428.38, 115,129.62 and 45,702.36 is: 63,068.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,428.38 : 115,129.62 = 45,702.36 : x
  2. Step 2: Convert to fraction form
    83,428.38/115,129.62 = 45,702.36/x
  3. Step 3: Cross multiply
    83,428.38x = 115,129.62 × 45,702.36
  4. Step 4: Simplify right side
    83,428.38x = 5,261,695,339.90
  5. Step 5: Solve for x
    x = 5,261,695,339.90/83,428.38
  6. Step 6: Final answer
    x = 63,068.41

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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.