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Finding the Fourth Proportional to 75,406.20, 113,123.21 and 24,808.08

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Solution

The fourth proportional to 75,406.20, 113,123.21 and 24,808.08 is: 37,216.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,406.20 : 113,123.21 = 24,808.08 : x
  2. Step 2: Convert to fraction form
    75,406.20/113,123.21 = 24,808.08/x
  3. Step 3: Cross multiply
    75,406.20x = 113,123.21 × 24,808.08
  4. Step 4: Simplify right side
    75,406.20x = 2,806,368,953.88
  5. Step 5: Solve for x
    x = 2,806,368,953.88/75,406.20
  6. Step 6: Final answer
    x = 37,216.69

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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.