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Finding the Fourth Proportional to 30,592.60, 42,217.82 and 17,854.54

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Solution

The fourth proportional to 30,592.60, 42,217.82 and 17,854.54 is: 24,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,592.60 : 42,217.82 = 17,854.54 : x
  2. Step 2: Convert to fraction form
    30,592.60/42,217.82 = 17,854.54/x
  3. Step 3: Cross multiply
    30,592.60x = 42,217.82 × 17,854.54
  4. Step 4: Simplify right side
    30,592.60x = 753,779,755.90
  5. Step 5: Solve for x
    x = 753,779,755.90/30,592.60
  6. Step 6: Final answer
    x = 24,639.28

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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.