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Finding the Fourth Proportional to 77,998.52, 107,638 and 44,014.20

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Solution

The fourth proportional to 77,998.52, 107,638 and 44,014.20 is: 60,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,998.52 : 107,638 = 44,014.20 : x
  2. Step 2: Convert to fraction form
    77,998.52/107,638 = 44,014.20/x
  3. Step 3: Cross multiply
    77,998.52x = 107,638 × 44,014.20
  4. Step 4: Simplify right side
    77,998.52x = 4,737,600,459.60
  5. Step 5: Solve for x
    x = 4,737,600,459.60/77,998.52
  6. Step 6: Final answer
    x = 60,739.62

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1.5x scale

Why These Related Problems?

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