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Finding the Fourth Proportional to 72,924.80, 109,402.68 and 23,019.32

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Solution

The fourth proportional to 72,924.80, 109,402.68 and 23,019.32 is: 34,533.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,924.80 : 109,402.68 = 23,019.32 : x
  2. Step 2: Convert to fraction form
    72,924.80/109,402.68 = 23,019.32/x
  3. Step 3: Cross multiply
    72,924.80x = 109,402.68 × 23,019.32
  4. Step 4: Simplify right side
    72,924.80x = 2,518,375,299.78
  5. Step 5: Solve for x
    x = 2,518,375,299.78/72,924.80
  6. Step 6: Final answer
    x = 34,533.87

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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.