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Finding the Fourth Proportional to 71,248.66, 106,823.78 and 31,248.43

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Solution

The fourth proportional to 71,248.66, 106,823.78 and 31,248.43 is: 46,851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,248.66 : 106,823.78 = 31,248.43 : x
  2. Step 2: Convert to fraction form
    71,248.66/106,823.78 = 31,248.43/x
  3. Step 3: Cross multiply
    71,248.66x = 106,823.78 × 31,248.43
  4. Step 4: Simplify right side
    71,248.66x = 3,338,074,988.36
  5. Step 5: Solve for x
    x = 3,338,074,988.36/71,248.66
  6. Step 6: Final answer
    x = 46,851.06

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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.