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Finding the Fourth Proportional to 57,141.79, 85,735.24 and 17,701.98

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Solution

The fourth proportional to 57,141.79, 85,735.24 and 17,701.98 is: 26,559.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,141.79 : 85,735.24 = 17,701.98 : x
  2. Step 2: Convert to fraction form
    57,141.79/85,735.24 = 17,701.98/x
  3. Step 3: Cross multiply
    57,141.79x = 85,735.24 × 17,701.98
  4. Step 4: Simplify right side
    57,141.79x = 1,517,683,503.78
  5. Step 5: Solve for x
    x = 1,517,683,503.78/57,141.79
  6. Step 6: Final answer
    x = 26,559.96

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Why These Related Problems?

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