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Finding the Fourth Proportional to 71,066.40, 106,459.20 and 36,031.20

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Solution

The fourth proportional to 71,066.40, 106,459.20 and 36,031.20 is: 53,975.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,066.40 : 106,459.20 = 36,031.20 : x
  2. Step 2: Convert to fraction form
    71,066.40/106,459.20 = 36,031.20/x
  3. Step 3: Cross multiply
    71,066.40x = 106,459.20 × 36,031.20
  4. Step 4: Simplify right side
    71,066.40x = 3,835,852,727.04
  5. Step 5: Solve for x
    x = 3,835,852,727.04/71,066.40
  6. Step 6: Final answer
    x = 53,975.62

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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.