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Finding the Fourth Proportional to 75,987.80, 114,014.50 and 40,920.47

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Solution

The fourth proportional to 75,987.80, 114,014.50 and 40,920.47 is: 61,398.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,987.80 : 114,014.50 = 40,920.47 : x
  2. Step 2: Convert to fraction form
    75,987.80/114,014.50 = 40,920.47/x
  3. Step 3: Cross multiply
    75,987.80x = 114,014.50 × 40,920.47
  4. Step 4: Simplify right side
    75,987.80x = 4,665,526,926.82
  5. Step 5: Solve for x
    x = 4,665,526,926.82/75,987.80
  6. Step 6: Final answer
    x = 61,398.37

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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.