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Finding the Fourth Proportional to 70,902.72, 106,378.68 and 31,487.52

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Solution

The fourth proportional to 70,902.72, 106,378.68 and 31,487.52 is: 47,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902.72 : 106,378.68 = 31,487.52 : x
  2. Step 2: Convert to fraction form
    70,902.72/106,378.68 = 31,487.52/x
  3. Step 3: Cross multiply
    70,902.72x = 106,378.68 × 31,487.52
  4. Step 4: Simplify right side
    70,902.72x = 3,349,600,814.07
  5. Step 5: Solve for x
    x = 3,349,600,814.07/70,902.72
  6. Step 6: Final answer
    x = 47,242.20

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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.