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Finding the Fourth Proportional to 71,854.62, 99,159.30 and 41,657.46

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Solution

The fourth proportional to 71,854.62, 99,159.30 and 41,657.46 is: 57,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,854.62 : 99,159.30 = 41,657.46 : x
  2. Step 2: Convert to fraction form
    71,854.62/99,159.30 = 41,657.46/x
  3. Step 3: Cross multiply
    71,854.62x = 99,159.30 × 41,657.46
  4. Step 4: Simplify right side
    71,854.62x = 4,130,724,573.38
  5. Step 5: Solve for x
    x = 4,130,724,573.38/71,854.62
  6. Step 6: Final answer
    x = 57,487.25

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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.