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Finding the Fourth Proportional to 47,856, 71,795.58 and 15,024

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Solution

The fourth proportional to 47,856, 71,795.58 and 15,024 is: 22,539.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,856 : 71,795.58 = 15,024 : x
  2. Step 2: Convert to fraction form
    47,856/71,795.58 = 15,024/x
  3. Step 3: Cross multiply
    47,856x = 71,795.58 × 15,024
  4. Step 4: Simplify right side
    47,856x = 1,078,656,793.92
  5. Step 5: Solve for x
    x = 1,078,656,793.92/47,856
  6. Step 6: Final answer
    x = 22,539.64

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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.