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Finding the Fourth Proportional to 57,987.46, 86,946.27 and 31,655.62

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Solution

The fourth proportional to 57,987.46, 86,946.27 and 31,655.62 is: 47,464.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,987.46 : 86,946.27 = 31,655.62 : x
  2. Step 2: Convert to fraction form
    57,987.46/86,946.27 = 31,655.62/x
  3. Step 3: Cross multiply
    57,987.46x = 86,946.27 × 31,655.62
  4. Step 4: Simplify right side
    57,987.46x = 2,752,338,083.54
  5. Step 5: Solve for x
    x = 2,752,338,083.54/57,987.46
  6. Step 6: Final answer
    x = 47,464.37

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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.