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Finding the Fourth Proportional to 82,002.40, 122,906.40 and 34,617.40

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Solution

The fourth proportional to 82,002.40, 122,906.40 and 34,617.40 is: 51,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.40 : 122,906.40 = 34,617.40 : x
  2. Step 2: Convert to fraction form
    82,002.40/122,906.40 = 34,617.40/x
  3. Step 3: Cross multiply
    82,002.40x = 122,906.40 × 34,617.40
  4. Step 4: Simplify right side
    82,002.40x = 4,254,700,011.36
  5. Step 5: Solve for x
    x = 4,254,700,011.36/82,002.40
  6. Step 6: Final answer
    x = 51,885.07

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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.