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Finding the Fourth Proportional to 83,564.96, 125,341.56 and 39,201.44

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Solution

The fourth proportional to 83,564.96, 125,341.56 and 39,201.44 is: 58,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,564.96 : 125,341.56 = 39,201.44 : x
  2. Step 2: Convert to fraction form
    83,564.96/125,341.56 = 39,201.44/x
  3. Step 3: Cross multiply
    83,564.96x = 125,341.56 × 39,201.44
  4. Step 4: Simplify right side
    83,564.96x = 4,913,569,643.85
  5. Step 5: Solve for x
    x = 4,913,569,643.85/83,564.96
  6. Step 6: Final answer
    x = 58,799.40

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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.