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Finding the Fourth Proportional to 57,102.59, 85,684.88 and 23,825.57

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Solution

The fourth proportional to 57,102.59, 85,684.88 and 23,825.57 is: 35,751.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,102.59 : 85,684.88 = 23,825.57 : x
  2. Step 2: Convert to fraction form
    57,102.59/85,684.88 = 23,825.57/x
  3. Step 3: Cross multiply
    57,102.59x = 85,684.88 × 23,825.57
  4. Step 4: Simplify right side
    57,102.59x = 2,041,490,737.52
  5. Step 5: Solve for x
    x = 2,041,490,737.52/57,102.59
  6. Step 6: Final answer
    x = 35,751.28

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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.