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Finding the Fourth Proportional to 57,145.60, 85,718.40 and 17,702.40

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Solution

The fourth proportional to 57,145.60, 85,718.40 and 17,702.40 is: 26,553.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.60 : 85,718.40 = 17,702.40 : x
  2. Step 2: Convert to fraction form
    57,145.60/85,718.40 = 17,702.40/x
  3. Step 3: Cross multiply
    57,145.60x = 85,718.40 × 17,702.40
  4. Step 4: Simplify right side
    57,145.60x = 1,517,421,404.16
  5. Step 5: Solve for x
    x = 1,517,421,404.16/57,145.60
  6. Step 6: Final answer
    x = 26,553.60

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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.