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Finding the Fourth Proportional to 47,097.50, 70,614.13 and 15,495.96

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Solution

The fourth proportional to 47,097.50, 70,614.13 and 15,495.96 is: 23,233.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,097.50 : 70,614.13 = 15,495.96 : x
  2. Step 2: Convert to fraction form
    47,097.50/70,614.13 = 15,495.96/x
  3. Step 3: Cross multiply
    47,097.50x = 70,614.13 × 15,495.96
  4. Step 4: Simplify right side
    47,097.50x = 1,094,233,591.83
  5. Step 5: Solve for x
    x = 1,094,233,591.83/47,097.50
  6. Step 6: Final answer
    x = 23,233.37

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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.