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Finding the Fourth Proportional to 47,402.92, 65,413.38 and 26,181.64

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Solution

The fourth proportional to 47,402.92, 65,413.38 and 26,181.64 is: 36,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,402.92 : 65,413.38 = 26,181.64 : x
  2. Step 2: Convert to fraction form
    47,402.92/65,413.38 = 26,181.64/x
  3. Step 3: Cross multiply
    47,402.92x = 65,413.38 × 26,181.64
  4. Step 4: Simplify right side
    47,402.92x = 1,712,629,566.34
  5. Step 5: Solve for x
    x = 1,712,629,566.34/47,402.92
  6. Step 6: Final answer
    x = 36,129.20

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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.