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Finding the Fourth Proportional to 80,385.90, 120,510.81 and 30,438.47

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Solution

The fourth proportional to 80,385.90, 120,510.81 and 30,438.47 is: 45,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,385.90 : 120,510.81 = 30,438.47 : x
  2. Step 2: Convert to fraction form
    80,385.90/120,510.81 = 30,438.47/x
  3. Step 3: Cross multiply
    80,385.90x = 120,510.81 × 30,438.47
  4. Step 4: Simplify right side
    80,385.90x = 3,668,164,072.31
  5. Step 5: Solve for x
    x = 3,668,164,072.31/80,385.90
  6. Step 6: Final answer
    x = 45,631.93

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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.