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Finding the Fourth Proportional to 29,712, 41,002.56 and 17,775.84

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Solution

The fourth proportional to 29,712, 41,002.56 and 17,775.84 is: 24,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,712 : 41,002.56 = 17,775.84 : x
  2. Step 2: Convert to fraction form
    29,712/41,002.56 = 17,775.84/x
  3. Step 3: Cross multiply
    29,712x = 41,002.56 × 17,775.84
  4. Step 4: Simplify right side
    29,712x = 728,854,946.15
  5. Step 5: Solve for x
    x = 728,854,946.15/29,712
  6. Step 6: Final answer
    x = 24,530.66

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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.