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Finding the Fourth Proportional to 48,766.70, 73,152.87 and 13,709.06

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Solution

The fourth proportional to 48,766.70, 73,152.87 and 13,709.06 is: 20,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,766.70 : 73,152.87 = 13,709.06 : x
  2. Step 2: Convert to fraction form
    48,766.70/73,152.87 = 13,709.06/x
  3. Step 3: Cross multiply
    48,766.70x = 73,152.87 × 13,709.06
  4. Step 4: Simplify right side
    48,766.70x = 1,002,857,084.00
  5. Step 5: Solve for x
    x = 1,002,857,084.00/48,766.70
  6. Step 6: Final answer
    x = 20,564.38

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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.