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Finding the Fourth Proportional to 47,512.90, 65,593.92 and 32,428

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Solution

The fourth proportional to 47,512.90, 65,593.92 and 32,428 is: 44,768.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,512.90 : 65,593.92 = 32,428 : x
  2. Step 2: Convert to fraction form
    47,512.90/65,593.92 = 32,428/x
  3. Step 3: Cross multiply
    47,512.90x = 65,593.92 × 32,428
  4. Step 4: Simplify right side
    47,512.90x = 2,127,079,637.76
  5. Step 5: Solve for x
    x = 2,127,079,637.76/47,512.90
  6. Step 6: Final answer
    x = 44,768.47

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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.