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Finding the Fourth Proportional to 47,269.93, 70,915.95 and 16,105.18

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Solution

The fourth proportional to 47,269.93, 70,915.95 and 16,105.18 is: 24,161.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,269.93 : 70,915.95 = 16,105.18 : x
  2. Step 2: Convert to fraction form
    47,269.93/70,915.95 = 16,105.18/x
  3. Step 3: Cross multiply
    47,269.93x = 70,915.95 × 16,105.18
  4. Step 4: Simplify right side
    47,269.93x = 1,142,114,139.62
  5. Step 5: Solve for x
    x = 1,142,114,139.62/47,269.93
  6. Step 6: Final answer
    x = 24,161.54

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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.