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Finding the Fourth Proportional to 75,375, 113,062.50 and 31,025.88

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Solution

The fourth proportional to 75,375, 113,062.50 and 31,025.88 is: 46,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,375 : 113,062.50 = 31,025.88 : x
  2. Step 2: Convert to fraction form
    75,375/113,062.50 = 31,025.88/x
  3. Step 3: Cross multiply
    75,375x = 113,062.50 × 31,025.88
  4. Step 4: Simplify right side
    75,375x = 3,507,863,557.50
  5. Step 5: Solve for x
    x = 3,507,863,557.50/75,375
  6. Step 6: Final answer
    x = 46,538.82

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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.