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Finding the Fourth Proportional to 47,464, 71,201.76 and 14,632

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Solution

The fourth proportional to 47,464, 71,201.76 and 14,632 is: 21,949.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,464 : 71,201.76 = 14,632 : x
  2. Step 2: Convert to fraction form
    47,464/71,201.76 = 14,632/x
  3. Step 3: Cross multiply
    47,464x = 71,201.76 × 14,632
  4. Step 4: Simplify right side
    47,464x = 1,041,824,152.32
  5. Step 5: Solve for x
    x = 1,041,824,152.32/47,464
  6. Step 6: Final answer
    x = 21,949.78

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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.