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Finding the Fourth Proportional to 48,382.78, 72,594.96 and 26,212

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Solution

The fourth proportional to 48,382.78, 72,594.96 and 26,212 is: 39,329.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,382.78 : 72,594.96 = 26,212 : x
  2. Step 2: Convert to fraction form
    48,382.78/72,594.96 = 26,212/x
  3. Step 3: Cross multiply
    48,382.78x = 72,594.96 × 26,212
  4. Step 4: Simplify right side
    48,382.78x = 1,902,859,091.52
  5. Step 5: Solve for x
    x = 1,902,859,091.52/48,382.78
  6. Step 6: Final answer
    x = 39,329.26

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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.