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Finding the Fourth Proportional to 68,846.90, 103,280.77 and 24,463.10

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Solution

The fourth proportional to 68,846.90, 103,280.77 and 24,463.10 is: 36,698.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,846.90 : 103,280.77 = 24,463.10 : x
  2. Step 2: Convert to fraction form
    68,846.90/103,280.77 = 24,463.10/x
  3. Step 3: Cross multiply
    68,846.90x = 103,280.77 × 24,463.10
  4. Step 4: Simplify right side
    68,846.90x = 2,526,567,948.13
  5. Step 5: Solve for x
    x = 2,526,567,948.13/68,846.90
  6. Step 6: Final answer
    x = 36,698.35

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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.