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Finding the Fourth Proportional to 32,712, 45,142.56 and 17,808

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Solution

The fourth proportional to 32,712, 45,142.56 and 17,808 is: 24,575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712 : 45,142.56 = 17,808 : x
  2. Step 2: Convert to fraction form
    32,712/45,142.56 = 17,808/x
  3. Step 3: Cross multiply
    32,712x = 45,142.56 × 17,808
  4. Step 4: Simplify right side
    32,712x = 803,898,708.48
  5. Step 5: Solve for x
    x = 803,898,708.48/32,712
  6. Step 6: Final answer
    x = 24,575.04

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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.