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Finding the Fourth Proportional to 75,641.60, 113,308.80 and 35,057.28

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Solution

The fourth proportional to 75,641.60, 113,308.80 and 35,057.28 is: 52,514.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,641.60 : 113,308.80 = 35,057.28 : x
  2. Step 2: Convert to fraction form
    75,641.60/113,308.80 = 35,057.28/x
  3. Step 3: Cross multiply
    75,641.60x = 113,308.80 × 35,057.28
  4. Step 4: Simplify right side
    75,641.60x = 3,972,298,328.06
  5. Step 5: Solve for x
    x = 3,972,298,328.06/75,641.60
  6. Step 6: Final answer
    x = 52,514.73

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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.