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Finding the Fourth Proportional to 54,873.71, 82,310.60 and 15,430.83

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Solution

The fourth proportional to 54,873.71, 82,310.60 and 15,430.83 is: 23,146.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,873.71 : 82,310.60 = 15,430.83 : x
  2. Step 2: Convert to fraction form
    54,873.71/82,310.60 = 15,430.83/x
  3. Step 3: Cross multiply
    54,873.71x = 82,310.60 × 15,430.83
  4. Step 4: Simplify right side
    54,873.71x = 1,270,120,875.80
  5. Step 5: Solve for x
    x = 1,270,120,875.80/54,873.71
  6. Step 6: Final answer
    x = 23,146.25

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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.