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Finding the Fourth Proportional to 72,229.68, 108,316.44 and 24,835.77

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Solution

The fourth proportional to 72,229.68, 108,316.44 and 24,835.77 is: 37,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,229.68 : 108,316.44 = 24,835.77 : x
  2. Step 2: Convert to fraction form
    72,229.68/108,316.44 = 24,835.77/x
  3. Step 3: Cross multiply
    72,229.68x = 108,316.44 × 24,835.77
  4. Step 4: Simplify right side
    72,229.68x = 2,690,122,191.06
  5. Step 5: Solve for x
    x = 2,690,122,191.06/72,229.68
  6. Step 6: Final answer
    x = 37,244.00

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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.