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Finding the Fourth Proportional to 70,245.60, 96,937.92 and 38,413.68

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Solution

The fourth proportional to 70,245.60, 96,937.92 and 38,413.68 is: 53,010.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,245.60 : 96,937.92 = 38,413.68 : x
  2. Step 2: Convert to fraction form
    70,245.60/96,937.92 = 38,413.68/x
  3. Step 3: Cross multiply
    70,245.60x = 96,937.92 × 38,413.68
  4. Step 4: Simplify right side
    70,245.60x = 3,723,742,238.75
  5. Step 5: Solve for x
    x = 3,723,742,238.75/70,245.60
  6. Step 6: Final answer
    x = 53,010.33

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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.