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Finding the Fourth Proportional to 31,001.42, 42,782.03 and 16,854.17

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Solution

The fourth proportional to 31,001.42, 42,782.03 and 16,854.17 is: 23,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001.42 : 42,782.03 = 16,854.17 : x
  2. Step 2: Convert to fraction form
    31,001.42/42,782.03 = 16,854.17/x
  3. Step 3: Cross multiply
    31,001.42x = 42,782.03 × 16,854.17
  4. Step 4: Simplify right side
    31,001.42x = 721,055,308.38
  5. Step 5: Solve for x
    x = 721,055,308.38/31,001.42
  6. Step 6: Final answer
    x = 23,258.79

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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.