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Finding the Fourth Proportional to 47,609.92, 65,699.12 and 26,387.92

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Solution

The fourth proportional to 47,609.92, 65,699.12 and 26,387.92 is: 36,413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,609.92 : 65,699.12 = 26,387.92 : x
  2. Step 2: Convert to fraction form
    47,609.92/65,699.12 = 26,387.92/x
  3. Step 3: Cross multiply
    47,609.92x = 65,699.12 × 26,387.92
  4. Step 4: Simplify right side
    47,609.92x = 1,733,663,122.63
  5. Step 5: Solve for x
    x = 1,733,663,122.63/47,609.92
  6. Step 6: Final answer
    x = 36,413.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.