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Finding the Fourth Proportional to 47,398, 71,135.52 and 24,031.12

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Solution

The fourth proportional to 47,398, 71,135.52 and 24,031.12 is: 36,066.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,398 : 71,135.52 = 24,031.12 : x
  2. Step 2: Convert to fraction form
    47,398/71,135.52 = 24,031.12/x
  3. Step 3: Cross multiply
    47,398x = 71,135.52 × 24,031.12
  4. Step 4: Simplify right side
    47,398x = 1,709,466,217.38
  5. Step 5: Solve for x
    x = 1,709,466,217.38/47,398
  6. Step 6: Final answer
    x = 36,066.21

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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.