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Finding the Fourth Proportional to 75,087, 112,586.76 and 32,965.38

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Solution

The fourth proportional to 75,087, 112,586.76 and 32,965.38 is: 49,428.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,087 : 112,586.76 = 32,965.38 : x
  2. Step 2: Convert to fraction form
    75,087/112,586.76 = 32,965.38/x
  3. Step 3: Cross multiply
    75,087x = 112,586.76 × 32,965.38
  4. Step 4: Simplify right side
    75,087x = 3,711,465,326.37
  5. Step 5: Solve for x
    x = 3,711,465,326.37/75,087
  6. Step 6: Final answer
    x = 49,428.87

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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.