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Finding the Fourth Proportional to 57,866.91, 86,807.31 and 20,419.25

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Solution

The fourth proportional to 57,866.91, 86,807.31 and 20,419.25 is: 30,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,866.91 : 86,807.31 = 20,419.25 : x
  2. Step 2: Convert to fraction form
    57,866.91/86,807.31 = 20,419.25/x
  3. Step 3: Cross multiply
    57,866.91x = 86,807.31 × 20,419.25
  4. Step 4: Simplify right side
    57,866.91x = 1,772,540,062.62
  5. Step 5: Solve for x
    x = 1,772,540,062.62/57,866.91
  6. Step 6: Final answer
    x = 30,631.32

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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.