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Finding the Fourth Proportional to 31,134.54, 42,966.90 and 17,707.02

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Solution

The fourth proportional to 31,134.54, 42,966.90 and 17,707.02 is: 24,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.54 : 42,966.90 = 17,707.02 : x
  2. Step 2: Convert to fraction form
    31,134.54/42,966.90 = 17,707.02/x
  3. Step 3: Cross multiply
    31,134.54x = 42,966.90 × 17,707.02
  4. Step 4: Simplify right side
    31,134.54x = 760,815,757.64
  5. Step 5: Solve for x
    x = 760,815,757.64/31,134.54
  6. Step 6: Final answer
    x = 24,436.39

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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.