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Finding the Fourth Proportional to 32,219.20, 48,328.80 and 31,052.80

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Solution

The fourth proportional to 32,219.20, 48,328.80 and 31,052.80 is: 46,579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,219.20 : 48,328.80 = 31,052.80 : x
  2. Step 2: Convert to fraction form
    32,219.20/48,328.80 = 31,052.80/x
  3. Step 3: Cross multiply
    32,219.20x = 48,328.80 × 31,052.80
  4. Step 4: Simplify right side
    32,219.20x = 1,500,744,560.64
  5. Step 5: Solve for x
    x = 1,500,744,560.64/32,219.20
  6. Step 6: Final answer
    x = 46,579.20

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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.