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Finding the Fourth Proportional to 31,712, 43,762.56 and 17,565.76

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Solution

The fourth proportional to 31,712, 43,762.56 and 17,565.76 is: 24,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,712 : 43,762.56 = 17,565.76 : x
  2. Step 2: Convert to fraction form
    31,712/43,762.56 = 17,565.76/x
  3. Step 3: Cross multiply
    31,712x = 43,762.56 × 17,565.76
  4. Step 4: Simplify right side
    31,712x = 768,722,407.13
  5. Step 5: Solve for x
    x = 768,722,407.13/31,712
  6. Step 6: Final answer
    x = 24,240.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.