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Finding the Fourth Proportional to 41,866.32, 57,775.02 and 23,003.40

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Solution

The fourth proportional to 41,866.32, 57,775.02 and 23,003.40 is: 31,744.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,866.32 : 57,775.02 = 23,003.40 : x
  2. Step 2: Convert to fraction form
    41,866.32/57,775.02 = 23,003.40/x
  3. Step 3: Cross multiply
    41,866.32x = 57,775.02 × 23,003.40
  4. Step 4: Simplify right side
    41,866.32x = 1,329,021,895.07
  5. Step 5: Solve for x
    x = 1,329,021,895.07/41,866.32
  6. Step 6: Final answer
    x = 31,744.42

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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.