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Finding the Fourth Proportional to 75,869.58, 113,833.80 and 31,485

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Solution

The fourth proportional to 75,869.58, 113,833.80 and 31,485 is: 47,239.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,869.58 : 113,833.80 = 31,485 : x
  2. Step 2: Convert to fraction form
    75,869.58/113,833.80 = 31,485/x
  3. Step 3: Cross multiply
    75,869.58x = 113,833.80 × 31,485
  4. Step 4: Simplify right side
    75,869.58x = 3,584,057,193
  5. Step 5: Solve for x
    x = 3,584,057,193/75,869.58
  6. Step 6: Final answer
    x = 47,239.71

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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.