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Finding the Fourth Proportional to 72,844.60, 109,283.34 and 22,248.16

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Solution

The fourth proportional to 72,844.60, 109,283.34 and 22,248.16 is: 33,377.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,844.60 : 109,283.34 = 22,248.16 : x
  2. Step 2: Convert to fraction form
    72,844.60/109,283.34 = 22,248.16/x
  3. Step 3: Cross multiply
    72,844.60x = 109,283.34 × 22,248.16
  4. Step 4: Simplify right side
    72,844.60x = 2,431,353,233.65
  5. Step 5: Solve for x
    x = 2,431,353,233.65/72,844.60
  6. Step 6: Final answer
    x = 33,377.26

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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.