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Finding the Fourth Proportional to 72,694.20, 109,041.30 and 56,947.80

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Solution

The fourth proportional to 72,694.20, 109,041.30 and 56,947.80 is: 85,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,694.20 : 109,041.30 = 56,947.80 : x
  2. Step 2: Convert to fraction form
    72,694.20/109,041.30 = 56,947.80/x
  3. Step 3: Cross multiply
    72,694.20x = 109,041.30 × 56,947.80
  4. Step 4: Simplify right side
    72,694.20x = 6,209,662,144.14
  5. Step 5: Solve for x
    x = 6,209,662,144.14/72,694.20
  6. Step 6: Final answer
    x = 85,421.70

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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.