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Finding the Fourth Proportional to 78,545.48, 117,800.46 and 22,384.37

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Solution

The fourth proportional to 78,545.48, 117,800.46 and 22,384.37 is: 33,571.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,545.48 : 117,800.46 = 22,384.37 : x
  2. Step 2: Convert to fraction form
    78,545.48/117,800.46 = 22,384.37/x
  3. Step 3: Cross multiply
    78,545.48x = 117,800.46 × 22,384.37
  4. Step 4: Simplify right side
    78,545.48x = 2,636,889,377.31
  5. Step 5: Solve for x
    x = 2,636,889,377.31/78,545.48
  6. Step 6: Final answer
    x = 33,571.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.