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Finding the Fourth Proportional to 47,473.20, 71,211.24 and 16,308

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Solution

The fourth proportional to 47,473.20, 71,211.24 and 16,308 is: 24,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,473.20 : 71,211.24 = 16,308 : x
  2. Step 2: Convert to fraction form
    47,473.20/71,211.24 = 16,308/x
  3. Step 3: Cross multiply
    47,473.20x = 71,211.24 × 16,308
  4. Step 4: Simplify right side
    47,473.20x = 1,161,312,901.92
  5. Step 5: Solve for x
    x = 1,161,312,901.92/47,473.20
  6. Step 6: Final answer
    x = 24,462.49

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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.