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Finding the Fourth Proportional to 38,977.50, 58,411.17 and 19,228.62

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Solution

The fourth proportional to 38,977.50, 58,411.17 and 19,228.62 is: 28,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,977.50 : 58,411.17 = 19,228.62 : x
  2. Step 2: Convert to fraction form
    38,977.50/58,411.17 = 19,228.62/x
  3. Step 3: Cross multiply
    38,977.50x = 58,411.17 × 19,228.62
  4. Step 4: Simplify right side
    38,977.50x = 1,123,166,191.69
  5. Step 5: Solve for x
    x = 1,123,166,191.69/38,977.50
  6. Step 6: Final answer
    x = 28,815.76

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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.