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Finding the Fourth Proportional to 78,330.49, 117,545.12 and 33,351.80

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Solution

The fourth proportional to 78,330.49, 117,545.12 and 33,351.80 is: 50,048.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,330.49 : 117,545.12 = 33,351.80 : x
  2. Step 2: Convert to fraction form
    78,330.49/117,545.12 = 33,351.80/x
  3. Step 3: Cross multiply
    78,330.49x = 117,545.12 × 33,351.80
  4. Step 4: Simplify right side
    78,330.49x = 3,920,341,552.60
  5. Step 5: Solve for x
    x = 3,920,341,552.60/78,330.49
  6. Step 6: Final answer
    x = 50,048.73

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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.