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Finding the Fourth Proportional to 56,966.40, 85,449.60 and 15,413.40

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Solution

The fourth proportional to 56,966.40, 85,449.60 and 15,413.40 is: 23,120.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,966.40 : 85,449.60 = 15,413.40 : x
  2. Step 2: Convert to fraction form
    56,966.40/85,449.60 = 15,413.40/x
  3. Step 3: Cross multiply
    56,966.40x = 85,449.60 × 15,413.40
  4. Step 4: Simplify right side
    56,966.40x = 1,317,068,864.64
  5. Step 5: Solve for x
    x = 1,317,068,864.64/56,966.40
  6. Step 6: Final answer
    x = 23,120.10

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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.