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Finding the Fourth Proportional to 83,470.32, 115,152.84 and 55,215.44

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Solution

The fourth proportional to 83,470.32, 115,152.84 and 55,215.44 is: 76,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,470.32 : 115,152.84 = 55,215.44 : x
  2. Step 2: Convert to fraction form
    83,470.32/115,152.84 = 55,215.44/x
  3. Step 3: Cross multiply
    83,470.32x = 115,152.84 × 55,215.44
  4. Step 4: Simplify right side
    83,470.32x = 6,358,214,727.85
  5. Step 5: Solve for x
    x = 6,358,214,727.85/83,470.32
  6. Step 6: Final answer
    x = 76,173.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.