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Finding the Fourth Proportional to 131,462.48, 197,213.70 and 48,350

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Solution

The fourth proportional to 131,462.48, 197,213.70 and 48,350 is: 72,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,462.48 : 197,213.70 = 48,350 : x
  2. Step 2: Convert to fraction form
    131,462.48/197,213.70 = 48,350/x
  3. Step 3: Cross multiply
    131,462.48x = 197,213.70 × 48,350
  4. Step 4: Simplify right side
    131,462.48x = 9,535,282,395
  5. Step 5: Solve for x
    x = 9,535,282,395/131,462.48
  6. Step 6: Final answer
    x = 72,532.35

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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.