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Finding the Fourth Proportional to 82,912.60, 124,385.10 and 32,984.20

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Solution

The fourth proportional to 82,912.60, 124,385.10 and 32,984.20 is: 49,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,912.60 : 124,385.10 = 32,984.20 : x
  2. Step 2: Convert to fraction form
    82,912.60/124,385.10 = 32,984.20/x
  3. Step 3: Cross multiply
    82,912.60x = 124,385.10 × 32,984.20
  4. Step 4: Simplify right side
    82,912.60x = 4,102,743,015.42
  5. Step 5: Solve for x
    x = 4,102,743,015.42/82,912.60
  6. Step 6: Final answer
    x = 49,482.74

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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.