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Finding the Fourth Proportional to 75,309.96, 112,886.12 and 25,372.80

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Solution

The fourth proportional to 75,309.96, 112,886.12 and 25,372.80 is: 38,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,309.96 : 112,886.12 = 25,372.80 : x
  2. Step 2: Convert to fraction form
    75,309.96/112,886.12 = 25,372.80/x
  3. Step 3: Cross multiply
    75,309.96x = 112,886.12 × 25,372.80
  4. Step 4: Simplify right side
    75,309.96x = 2,864,236,945.54
  5. Step 5: Solve for x
    x = 2,864,236,945.54/75,309.96
  6. Step 6: Final answer
    x = 38,032.64

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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.