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Finding the Fourth Proportional to 56,095, 84,077.92 and 22,778.52

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Solution

The fourth proportional to 56,095, 84,077.92 and 22,778.52 is: 34,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,095 : 84,077.92 = 22,778.52 : x
  2. Step 2: Convert to fraction form
    56,095/84,077.92 = 22,778.52/x
  3. Step 3: Cross multiply
    56,095x = 84,077.92 × 22,778.52
  4. Step 4: Simplify right side
    56,095x = 1,915,170,582.28
  5. Step 5: Solve for x
    x = 1,915,170,582.28/56,095
  6. Step 6: Final answer
    x = 34,141.56

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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.