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Finding the Fourth Proportional to 92,413.56, 138,540.15 and 57,275.76

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Solution

The fourth proportional to 92,413.56, 138,540.15 and 57,275.76 is: 85,863.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,413.56 : 138,540.15 = 57,275.76 : x
  2. Step 2: Convert to fraction form
    92,413.56/138,540.15 = 57,275.76/x
  3. Step 3: Cross multiply
    92,413.56x = 138,540.15 × 57,275.76
  4. Step 4: Simplify right side
    92,413.56x = 7,934,992,381.76
  5. Step 5: Solve for x
    x = 7,934,992,381.76/92,413.56
  6. Step 6: Final answer
    x = 85,863.94

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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.