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Finding the Fourth Proportional to 82,942.60, 124,430.10 and 33,014.20

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Solution

The fourth proportional to 82,942.60, 124,430.10 and 33,014.20 is: 49,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,942.60 : 124,430.10 = 33,014.20 : x
  2. Step 2: Convert to fraction form
    82,942.60/124,430.10 = 33,014.20/x
  3. Step 3: Cross multiply
    82,942.60x = 124,430.10 × 33,014.20
  4. Step 4: Simplify right side
    82,942.60x = 4,107,960,207.42
  5. Step 5: Solve for x
    x = 4,107,960,207.42/82,942.60
  6. Step 6: Final answer
    x = 49,527.75

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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.