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Finding the Fourth Proportional to 47,323.98, 71,029.70 and 23,966.82

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Solution

The fourth proportional to 47,323.98, 71,029.70 and 23,966.82 is: 35,972.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,323.98 : 71,029.70 = 23,966.82 : x
  2. Step 2: Convert to fraction form
    47,323.98/71,029.70 = 23,966.82/x
  3. Step 3: Cross multiply
    47,323.98x = 71,029.70 × 23,966.82
  4. Step 4: Simplify right side
    47,323.98x = 1,702,356,034.55
  5. Step 5: Solve for x
    x = 1,702,356,034.55/47,323.98
  6. Step 6: Final answer
    x = 35,972.38

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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.