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Finding the Fourth Proportional to 72,301.80, 108,442.70 and 22,416.20

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Solution

The fourth proportional to 72,301.80, 108,442.70 and 22,416.20 is: 33,621.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,301.80 : 108,442.70 = 22,416.20 : x
  2. Step 2: Convert to fraction form
    72,301.80/108,442.70 = 22,416.20/x
  3. Step 3: Cross multiply
    72,301.80x = 108,442.70 × 22,416.20
  4. Step 4: Simplify right side
    72,301.80x = 2,430,873,251.74
  5. Step 5: Solve for x
    x = 2,430,873,251.74/72,301.80
  6. Step 6: Final answer
    x = 33,621.20

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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.