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Finding the Fourth Proportional to 57,397.70, 86,108.70 and 17,413.40

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Solution

The fourth proportional to 57,397.70, 86,108.70 and 17,413.40 is: 26,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,397.70 : 86,108.70 = 17,413.40 : x
  2. Step 2: Convert to fraction form
    57,397.70/86,108.70 = 17,413.40/x
  3. Step 3: Cross multiply
    57,397.70x = 86,108.70 × 17,413.40
  4. Step 4: Simplify right side
    57,397.70x = 1,499,445,236.58
  5. Step 5: Solve for x
    x = 1,499,445,236.58/57,397.70
  6. Step 6: Final answer
    x = 26,123.79

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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.