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Finding the Fourth Proportional to 81,506.88, 122,266.80 and 34,760.16

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Solution

The fourth proportional to 81,506.88, 122,266.80 and 34,760.16 is: 52,143.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,506.88 : 122,266.80 = 34,760.16 : x
  2. Step 2: Convert to fraction form
    81,506.88/122,266.80 = 34,760.16/x
  3. Step 3: Cross multiply
    81,506.88x = 122,266.80 × 34,760.16
  4. Step 4: Simplify right side
    81,506.88x = 4,250,013,530.69
  5. Step 5: Solve for x
    x = 4,250,013,530.69/81,506.88
  6. Step 6: Final answer
    x = 52,143.00

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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.