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Finding the Fourth Proportional to 75,429.50, 113,158.82 and 28,678.74

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Solution

The fourth proportional to 75,429.50, 113,158.82 and 28,678.74 is: 43,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,429.50 : 113,158.82 = 28,678.74 : x
  2. Step 2: Convert to fraction form
    75,429.50/113,158.82 = 28,678.74/x
  3. Step 3: Cross multiply
    75,429.50x = 113,158.82 × 28,678.74
  4. Step 4: Simplify right side
    75,429.50x = 3,245,252,377.49
  5. Step 5: Solve for x
    x = 3,245,252,377.49/75,429.50
  6. Step 6: Final answer
    x = 43,023.65

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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.