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Finding the Fourth Proportional to 80,466.35, 120,710.78 and 24,300.08

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Solution

The fourth proportional to 80,466.35, 120,710.78 and 24,300.08 is: 36,453.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,466.35 : 120,710.78 = 24,300.08 : x
  2. Step 2: Convert to fraction form
    80,466.35/120,710.78 = 24,300.08/x
  3. Step 3: Cross multiply
    80,466.35x = 120,710.78 × 24,300.08
  4. Step 4: Simplify right side
    80,466.35x = 2,933,280,885.81
  5. Step 5: Solve for x
    x = 2,933,280,885.81/80,466.35
  6. Step 6: Final answer
    x = 36,453.51

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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.