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Finding the Fourth Proportional to 70,049.68, 96,689.28 and 48,835.78

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Solution

The fourth proportional to 70,049.68, 96,689.28 and 48,835.78 is: 67,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,049.68 : 96,689.28 = 48,835.78 : x
  2. Step 2: Convert to fraction form
    70,049.68/96,689.28 = 48,835.78/x
  3. Step 3: Cross multiply
    70,049.68x = 96,689.28 × 48,835.78
  4. Step 4: Simplify right side
    70,049.68x = 4,721,896,406.44
  5. Step 5: Solve for x
    x = 4,721,896,406.44/70,049.68
  6. Step 6: Final answer
    x = 67,407.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.