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Finding the Fourth Proportional to 80,492.60, 120,721.80 and 30,555.20

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Solution

The fourth proportional to 80,492.60, 120,721.80 and 30,555.20 is: 45,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,492.60 : 120,721.80 = 30,555.20 : x
  2. Step 2: Convert to fraction form
    80,492.60/120,721.80 = 30,555.20/x
  3. Step 3: Cross multiply
    80,492.60x = 120,721.80 × 30,555.20
  4. Step 4: Simplify right side
    80,492.60x = 3,688,678,743.36
  5. Step 5: Solve for x
    x = 3,688,678,743.36/80,492.60
  6. Step 6: Final answer
    x = 45,826.31

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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.