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Finding the Fourth Proportional to 31,007.76, 42,800.52 and 17,587.98

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Solution

The fourth proportional to 31,007.76, 42,800.52 and 17,587.98 is: 24,276.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,007.76 : 42,800.52 = 17,587.98 : x
  2. Step 2: Convert to fraction form
    31,007.76/42,800.52 = 17,587.98/x
  3. Step 3: Cross multiply
    31,007.76x = 42,800.52 × 17,587.98
  4. Step 4: Simplify right side
    31,007.76x = 752,774,689.75
  5. Step 5: Solve for x
    x = 752,774,689.75/31,007.76
  6. Step 6: Final answer
    x = 24,276.98

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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.