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Finding the Fourth Proportional to 75,998.60, 113,998.16 and 23,407.80

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Solution

The fourth proportional to 75,998.60, 113,998.16 and 23,407.80 is: 35,111.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,998.60 : 113,998.16 = 23,407.80 : x
  2. Step 2: Convert to fraction form
    75,998.60/113,998.16 = 23,407.80/x
  3. Step 3: Cross multiply
    75,998.60x = 113,998.16 × 23,407.80
  4. Step 4: Simplify right side
    75,998.60x = 2,668,446,129.65
  5. Step 5: Solve for x
    x = 2,668,446,129.65/75,998.60
  6. Step 6: Final answer
    x = 35,111.78

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1.5x scale

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.