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Finding the Fourth Proportional to 48,864.68, 73,306.74 and 15,583.68

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Solution

The fourth proportional to 48,864.68, 73,306.74 and 15,583.68 is: 23,378.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,864.68 : 73,306.74 = 15,583.68 : x
  2. Step 2: Convert to fraction form
    48,864.68/73,306.74 = 15,583.68/x
  3. Step 3: Cross multiply
    48,864.68x = 73,306.74 × 15,583.68
  4. Step 4: Simplify right side
    48,864.68x = 1,142,388,778.00
  5. Step 5: Solve for x
    x = 1,142,388,778.00/48,864.68
  6. Step 6: Final answer
    x = 23,378.62

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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.