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Finding the Fourth Proportional to 47,541.70, 71,307.06 and 12,484.10

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Solution

The fourth proportional to 47,541.70, 71,307.06 and 12,484.10 is: 18,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,541.70 : 71,307.06 = 12,484.10 : x
  2. Step 2: Convert to fraction form
    47,541.70/71,307.06 = 12,484.10/x
  3. Step 3: Cross multiply
    47,541.70x = 71,307.06 × 12,484.10
  4. Step 4: Simplify right side
    47,541.70x = 890,204,467.75
  5. Step 5: Solve for x
    x = 890,204,467.75/47,541.70
  6. Step 6: Final answer
    x = 18,724.71

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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.