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Finding the Fourth Proportional to 41,865.32, 57,774.15 and 23,002.45

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Solution

The fourth proportional to 41,865.32, 57,774.15 and 23,002.45 is: 31,743.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,865.32 : 57,774.15 = 23,002.45 : x
  2. Step 2: Convert to fraction form
    41,865.32/57,774.15 = 23,002.45/x
  3. Step 3: Cross multiply
    41,865.32x = 57,774.15 × 23,002.45
  4. Step 4: Simplify right side
    41,865.32x = 1,328,946,852.23
  5. Step 5: Solve for x
    x = 1,328,946,852.23/41,865.32
  6. Step 6: Final answer
    x = 31,743.38

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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.