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Finding the Fourth Proportional to 47,423.68, 71,143.20 and 14,584

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Solution

The fourth proportional to 47,423.68, 71,143.20 and 14,584 is: 21,878.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,423.68 : 71,143.20 = 14,584 : x
  2. Step 2: Convert to fraction form
    47,423.68/71,143.20 = 14,584/x
  3. Step 3: Cross multiply
    47,423.68x = 71,143.20 × 14,584
  4. Step 4: Simplify right side
    47,423.68x = 1,037,552,428.80
  5. Step 5: Solve for x
    x = 1,037,552,428.80/47,423.68
  6. Step 6: Final answer
    x = 21,878.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.