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Finding the Fourth Proportional to 32,640, 48,810.48 and 24,325.80

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Solution

The fourth proportional to 32,640, 48,810.48 and 24,325.80 is: 36,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,640 : 48,810.48 = 24,325.80 : x
  2. Step 2: Convert to fraction form
    32,640/48,810.48 = 24,325.80/x
  3. Step 3: Cross multiply
    32,640x = 48,810.48 × 24,325.80
  4. Step 4: Simplify right side
    32,640x = 1,187,353,974.38
  5. Step 5: Solve for x
    x = 1,187,353,974.38/32,640
  6. Step 6: Final answer
    x = 36,377.27

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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.