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Finding the Fourth Proportional to 101,424.87, 152,139.60 and 31,304.25

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Solution

The fourth proportional to 101,424.87, 152,139.60 and 31,304.25 is: 46,957.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,424.87 : 152,139.60 = 31,304.25 : x
  2. Step 2: Convert to fraction form
    101,424.87/152,139.60 = 31,304.25/x
  3. Step 3: Cross multiply
    101,424.87x = 152,139.60 × 31,304.25
  4. Step 4: Simplify right side
    101,424.87x = 4,762,616,073.30
  5. Step 5: Solve for x
    x = 4,762,616,073.30/101,424.87
  6. Step 6: Final answer
    x = 46,957.08

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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.