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Finding the Fourth Proportional to 72,892.80, 109,343.52 and 22,974.48

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Solution

The fourth proportional to 72,892.80, 109,343.52 and 22,974.48 is: 34,463.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,892.80 : 109,343.52 = 22,974.48 : x
  2. Step 2: Convert to fraction form
    72,892.80/109,343.52 = 22,974.48/x
  3. Step 3: Cross multiply
    72,892.80x = 109,343.52 × 22,974.48
  4. Step 4: Simplify right side
    72,892.80x = 2,512,110,513.37
  5. Step 5: Solve for x
    x = 2,512,110,513.37/72,892.80
  6. Step 6: Final answer
    x = 34,463.08

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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.