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Finding the Fourth Proportional to 42,015.66, 57,981.87 and 23,152.38

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Solution

The fourth proportional to 42,015.66, 57,981.87 and 23,152.38 is: 31,950.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,015.66 : 57,981.87 = 23,152.38 : x
  2. Step 2: Convert to fraction form
    42,015.66/57,981.87 = 23,152.38/x
  3. Step 3: Cross multiply
    42,015.66x = 57,981.87 × 23,152.38
  4. Step 4: Simplify right side
    42,015.66x = 1,342,418,287.35
  5. Step 5: Solve for x
    x = 1,342,418,287.35/42,015.66
  6. Step 6: Final answer
    x = 31,950.43

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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.