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Finding the Fourth Proportional to 71,159.40, 106,735.23 and 36,098.13

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Solution

The fourth proportional to 71,159.40, 106,735.23 and 36,098.13 is: 54,145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,159.40 : 106,735.23 = 36,098.13 : x
  2. Step 2: Convert to fraction form
    71,159.40/106,735.23 = 36,098.13/x
  3. Step 3: Cross multiply
    71,159.40x = 106,735.23 × 36,098.13
  4. Step 4: Simplify right side
    71,159.40x = 3,852,942,208.12
  5. Step 5: Solve for x
    x = 3,852,942,208.12/71,159.40
  6. Step 6: Final answer
    x = 54,145.23

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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.