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Finding the Fourth Proportional to 47,543.63, 71,323.95 and 15,963.98

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Solution

The fourth proportional to 47,543.63, 71,323.95 and 15,963.98 is: 23,948.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,543.63 : 71,323.95 = 15,963.98 : x
  2. Step 2: Convert to fraction form
    47,543.63/71,323.95 = 15,963.98/x
  3. Step 3: Cross multiply
    47,543.63x = 71,323.95 × 15,963.98
  4. Step 4: Simplify right side
    47,543.63x = 1,138,613,754.70
  5. Step 5: Solve for x
    x = 1,138,613,754.70/47,543.63
  6. Step 6: Final answer
    x = 23,948.82

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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.