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Finding the Fourth Proportional to 75,218.88, 112,828.32 and 38,308.80

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Solution

The fourth proportional to 75,218.88, 112,828.32 and 38,308.80 is: 57,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,218.88 : 112,828.32 = 38,308.80 : x
  2. Step 2: Convert to fraction form
    75,218.88/112,828.32 = 38,308.80/x
  3. Step 3: Cross multiply
    75,218.88x = 112,828.32 × 38,308.80
  4. Step 4: Simplify right side
    75,218.88x = 4,322,317,545.22
  5. Step 5: Solve for x
    x = 4,322,317,545.22/75,218.88
  6. Step 6: Final answer
    x = 57,463.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.