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Finding the Fourth Proportional to 70,405.80, 105,414.30 and 54,853.80

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Solution

The fourth proportional to 70,405.80, 105,414.30 and 54,853.80 is: 82,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,405.80 : 105,414.30 = 54,853.80 : x
  2. Step 2: Convert to fraction form
    70,405.80/105,414.30 = 54,853.80/x
  3. Step 3: Cross multiply
    70,405.80x = 105,414.30 × 54,853.80
  4. Step 4: Simplify right side
    70,405.80x = 5,782,374,929.34
  5. Step 5: Solve for x
    x = 5,782,374,929.34/70,405.80
  6. Step 6: Final answer
    x = 82,129.24

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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.