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Finding the Fourth Proportional to 70,474.52, 105,689.21 and 23,076.76

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Solution

The fourth proportional to 70,474.52, 105,689.21 and 23,076.76 is: 34,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,474.52 : 105,689.21 = 23,076.76 : x
  2. Step 2: Convert to fraction form
    70,474.52/105,689.21 = 23,076.76/x
  3. Step 3: Cross multiply
    70,474.52x = 105,689.21 × 23,076.76
  4. Step 4: Simplify right side
    70,474.52x = 2,438,964,500.95
  5. Step 5: Solve for x
    x = 2,438,964,500.95/70,474.52
  6. Step 6: Final answer
    x = 34,607.75

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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.