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Finding the Fourth Proportional to 188,715.72, 283,073.58 and 48,474.48

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Solution

The fourth proportional to 188,715.72, 283,073.58 and 48,474.48 is: 72,711.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,715.72 : 283,073.58 = 48,474.48 : x
  2. Step 2: Convert to fraction form
    188,715.72/283,073.58 = 48,474.48/x
  3. Step 3: Cross multiply
    188,715.72x = 283,073.58 × 48,474.48
  4. Step 4: Simplify right side
    188,715.72x = 13,721,844,592.24
  5. Step 5: Solve for x
    x = 13,721,844,592.24/188,715.72
  6. Step 6: Final answer
    x = 72,711.72

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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.