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Finding the Fourth Proportional to 71,332.14, 107,016.01 and 21,413.16

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Solution

The fourth proportional to 71,332.14, 107,016.01 and 21,413.16 is: 32,125.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,332.14 : 107,016.01 = 21,413.16 : x
  2. Step 2: Convert to fraction form
    71,332.14/107,016.01 = 21,413.16/x
  3. Step 3: Cross multiply
    71,332.14x = 107,016.01 × 21,413.16
  4. Step 4: Simplify right side
    71,332.14x = 2,291,550,944.69
  5. Step 5: Solve for x
    x = 2,291,550,944.69/71,332.14
  6. Step 6: Final answer
    x = 32,125.08

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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.