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Finding the Fourth Proportional to 75,034.80, 112,558.98 and 21,726

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Solution

The fourth proportional to 75,034.80, 112,558.98 and 21,726 is: 32,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,034.80 : 112,558.98 = 21,726 : x
  2. Step 2: Convert to fraction form
    75,034.80/112,558.98 = 21,726/x
  3. Step 3: Cross multiply
    75,034.80x = 112,558.98 × 21,726
  4. Step 4: Simplify right side
    75,034.80x = 2,445,456,399.48
  5. Step 5: Solve for x
    x = 2,445,456,399.48/75,034.80
  6. Step 6: Final answer
    x = 32,590.96

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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.