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Finding the Fourth Proportional to 86,413.60, 129,620.40 and 24,084.10

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Solution

The fourth proportional to 86,413.60, 129,620.40 and 24,084.10 is: 36,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,413.60 : 129,620.40 = 24,084.10 : x
  2. Step 2: Convert to fraction form
    86,413.60/129,620.40 = 24,084.10/x
  3. Step 3: Cross multiply
    86,413.60x = 129,620.40 × 24,084.10
  4. Step 4: Simplify right side
    86,413.60x = 3,121,790,675.64
  5. Step 5: Solve for x
    x = 3,121,790,675.64/86,413.60
  6. Step 6: Final answer
    x = 36,126.15

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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.