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Finding the Fourth Proportional to 82,002.80, 122,554.92 and 59,862.80

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Solution

The fourth proportional to 82,002.80, 122,554.92 and 59,862.80 is: 89,466.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,002.80 : 122,554.92 = 59,862.80 : x
  2. Step 2: Convert to fraction form
    82,002.80/122,554.92 = 59,862.80/x
  3. Step 3: Cross multiply
    82,002.80x = 122,554.92 × 59,862.80
  4. Step 4: Simplify right side
    82,002.80x = 7,336,480,859.12
  5. Step 5: Solve for x
    x = 7,336,480,859.12/82,002.80
  6. Step 6: Final answer
    x = 89,466.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.