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Finding the Fourth Proportional to 54,299.70, 81,413.10 and 24,702.30

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Solution

The fourth proportional to 54,299.70, 81,413.10 and 24,702.30 is: 37,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,299.70 : 81,413.10 = 24,702.30 : x
  2. Step 2: Convert to fraction form
    54,299.70/81,413.10 = 24,702.30/x
  3. Step 3: Cross multiply
    54,299.70x = 81,413.10 × 24,702.30
  4. Step 4: Simplify right side
    54,299.70x = 2,011,090,820.13
  5. Step 5: Solve for x
    x = 2,011,090,820.13/54,299.70
  6. Step 6: Final answer
    x = 37,036.87

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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.