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Finding the Fourth Proportional to 68,704.80, 103,046.40 and 24,325.20

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Solution

The fourth proportional to 68,704.80, 103,046.40 and 24,325.20 is: 36,483.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,704.80 : 103,046.40 = 24,325.20 : x
  2. Step 2: Convert to fraction form
    68,704.80/103,046.40 = 24,325.20/x
  3. Step 3: Cross multiply
    68,704.80x = 103,046.40 × 24,325.20
  4. Step 4: Simplify right side
    68,704.80x = 2,506,624,289.28
  5. Step 5: Solve for x
    x = 2,506,624,289.28/68,704.80
  6. Step 6: Final answer
    x = 36,483.98

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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.