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Finding the Fourth Proportional to 83,643.90, 125,465.85 and 58,712.10

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Solution

The fourth proportional to 83,643.90, 125,465.85 and 58,712.10 is: 88,068.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,643.90 : 125,465.85 = 58,712.10 : x
  2. Step 2: Convert to fraction form
    83,643.90/125,465.85 = 58,712.10/x
  3. Step 3: Cross multiply
    83,643.90x = 125,465.85 × 58,712.10
  4. Step 4: Simplify right side
    83,643.90x = 7,366,363,531.79
  5. Step 5: Solve for x
    x = 7,366,363,531.79/83,643.90
  6. Step 6: Final answer
    x = 88,068.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.