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Finding the Fourth Proportional to 47,978.68, 71,932.47 and 22,994.95

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Solution

The fourth proportional to 47,978.68, 71,932.47 and 22,994.95 is: 34,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,978.68 : 71,932.47 = 22,994.95 : x
  2. Step 2: Convert to fraction form
    47,978.68/71,932.47 = 22,994.95/x
  3. Step 3: Cross multiply
    47,978.68x = 71,932.47 × 22,994.95
  4. Step 4: Simplify right side
    47,978.68x = 1,654,083,191.36
  5. Step 5: Solve for x
    x = 1,654,083,191.36/47,978.68
  6. Step 6: Final answer
    x = 34,475.38

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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.