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Finding the Fourth Proportional to 73,232.34, 109,772.42 and 31,139.42

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Solution

The fourth proportional to 73,232.34, 109,772.42 and 31,139.42 is: 46,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,232.34 : 109,772.42 = 31,139.42 : x
  2. Step 2: Convert to fraction form
    73,232.34/109,772.42 = 31,139.42/x
  3. Step 3: Cross multiply
    73,232.34x = 109,772.42 × 31,139.42
  4. Step 4: Simplify right side
    73,232.34x = 3,418,249,490.80
  5. Step 5: Solve for x
    x = 3,418,249,490.80/73,232.34
  6. Step 6: Final answer
    x = 46,676.78

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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.