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Finding the Fourth Proportional to 53,842.56, 80,713.92 and 49,413.12

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Solution

The fourth proportional to 53,842.56, 80,713.92 and 49,413.12 is: 74,073.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842.56 : 80,713.92 = 49,413.12 : x
  2. Step 2: Convert to fraction form
    53,842.56/80,713.92 = 49,413.12/x
  3. Step 3: Cross multiply
    53,842.56x = 80,713.92 × 49,413.12
  4. Step 4: Simplify right side
    53,842.56x = 3,988,326,614.63
  5. Step 5: Solve for x
    x = 3,988,326,614.63/53,842.56
  6. Step 6: Final answer
    x = 74,073.87

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1.5x scale

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.