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Finding the Fourth Proportional to 47,544.18, 71,316.27 and 16,377

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Solution

The fourth proportional to 47,544.18, 71,316.27 and 16,377 is: 24,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,544.18 : 71,316.27 = 16,377 : x
  2. Step 2: Convert to fraction form
    47,544.18/71,316.27 = 16,377/x
  3. Step 3: Cross multiply
    47,544.18x = 71,316.27 × 16,377
  4. Step 4: Simplify right side
    47,544.18x = 1,167,946,553.79
  5. Step 5: Solve for x
    x = 1,167,946,553.79/47,544.18
  6. Step 6: Final answer
    x = 24,565.50

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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.