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Finding the Fourth Proportional to 41,827.34, 57,696.38 and 24,820.40

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Solution

The fourth proportional to 41,827.34, 57,696.38 and 24,820.40 is: 34,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,827.34 : 57,696.38 = 24,820.40 : x
  2. Step 2: Convert to fraction form
    41,827.34/57,696.38 = 24,820.40/x
  3. Step 3: Cross multiply
    41,827.34x = 57,696.38 × 24,820.40
  4. Step 4: Simplify right side
    41,827.34x = 1,432,047,230.15
  5. Step 5: Solve for x
    x = 1,432,047,230.15/41,827.34
  6. Step 6: Final answer
    x = 34,237.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.