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Finding the Fourth Proportional to 123,724.70, 185,506.05 and 48,799.70

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Solution

The fourth proportional to 123,724.70, 185,506.05 and 48,799.70 is: 73,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,724.70 : 185,506.05 = 48,799.70 : x
  2. Step 2: Convert to fraction form
    123,724.70/185,506.05 = 48,799.70/x
  3. Step 3: Cross multiply
    123,724.70x = 185,506.05 × 48,799.70
  4. Step 4: Simplify right side
    123,724.70x = 9,052,639,588.19
  5. Step 5: Solve for x
    x = 9,052,639,588.19/123,724.70
  6. Step 6: Final answer
    x = 73,167.60

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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.