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Finding the Fourth Proportional to 52,091.47, 71,871.64 and 32,712.47

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Solution

The fourth proportional to 52,091.47, 71,871.64 and 32,712.47 is: 45,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,091.47 : 71,871.64 = 32,712.47 : x
  2. Step 2: Convert to fraction form
    52,091.47/71,871.64 = 32,712.47/x
  3. Step 3: Cross multiply
    52,091.47x = 71,871.64 × 32,712.47
  4. Step 4: Simplify right side
    52,091.47x = 2,351,098,867.35
  5. Step 5: Solve for x
    x = 2,351,098,867.35/52,091.47
  6. Step 6: Final answer
    x = 45,134.05

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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.