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Finding the Fourth Proportional to 70,002.92, 96,586.68 and 42,772

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Solution

The fourth proportional to 70,002.92, 96,586.68 and 42,772 is: 59,014.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,002.92 : 96,586.68 = 42,772 : x
  2. Step 2: Convert to fraction form
    70,002.92/96,586.68 = 42,772/x
  3. Step 3: Cross multiply
    70,002.92x = 96,586.68 × 42,772
  4. Step 4: Simplify right side
    70,002.92x = 4,131,205,476.96
  5. Step 5: Solve for x
    x = 4,131,205,476.96/70,002.92
  6. Step 6: Final answer
    x = 59,014.76

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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.