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Finding the Fourth Proportional to 57,233.04, 85,854.40 and 15,680

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Solution

The fourth proportional to 57,233.04, 85,854.40 and 15,680 is: 23,521.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,233.04 : 85,854.40 = 15,680 : x
  2. Step 2: Convert to fraction form
    57,233.04/85,854.40 = 15,680/x
  3. Step 3: Cross multiply
    57,233.04x = 85,854.40 × 15,680
  4. Step 4: Simplify right side
    57,233.04x = 1,346,196,992
  5. Step 5: Solve for x
    x = 1,346,196,992/57,233.04
  6. Step 6: Final answer
    x = 23,521.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.