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Finding the Fourth Proportional to 47,424.68, 71,144.70 and 14,585

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Solution

The fourth proportional to 47,424.68, 71,144.70 and 14,585 is: 21,879.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,424.68 : 71,144.70 = 14,585 : x
  2. Step 2: Convert to fraction form
    47,424.68/71,144.70 = 14,585/x
  3. Step 3: Cross multiply
    47,424.68x = 71,144.70 × 14,585
  4. Step 4: Simplify right side
    47,424.68x = 1,037,645,449.50
  5. Step 5: Solve for x
    x = 1,037,645,449.50/47,424.68
  6. Step 6: Final answer
    x = 21,879.86

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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.