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Finding the Fourth Proportional to 72,876.92, 100,598.36 and 56,966.49

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Solution

The fourth proportional to 72,876.92, 100,598.36 and 56,966.49 is: 78,635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,876.92 : 100,598.36 = 56,966.49 : x
  2. Step 2: Convert to fraction form
    72,876.92/100,598.36 = 56,966.49/x
  3. Step 3: Cross multiply
    72,876.92x = 100,598.36 × 56,966.49
  4. Step 4: Simplify right side
    72,876.92x = 5,730,735,184.12
  5. Step 5: Solve for x
    x = 5,730,735,184.12/72,876.92
  6. Step 6: Final answer
    x = 78,635.81

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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.