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Finding the Fourth Proportional to 75,482.74, 113,203.86 and 35,961.22

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Solution

The fourth proportional to 75,482.74, 113,203.86 and 35,961.22 is: 53,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,482.74 : 113,203.86 = 35,961.22 : x
  2. Step 2: Convert to fraction form
    75,482.74/113,203.86 = 35,961.22/x
  3. Step 3: Cross multiply
    75,482.74x = 113,203.86 × 35,961.22
  4. Step 4: Simplify right side
    75,482.74x = 4,070,948,914.31
  5. Step 5: Solve for x
    x = 4,070,948,914.31/75,482.74
  6. Step 6: Final answer
    x = 53,932.18

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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.