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Finding the Fourth Proportional to 41,873.84, 57,784.64 and 23,010.92

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Solution

The fourth proportional to 41,873.84, 57,784.64 and 23,010.92 is: 31,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,873.84 : 57,784.64 = 23,010.92 : x
  2. Step 2: Convert to fraction form
    41,873.84/57,784.64 = 23,010.92/x
  3. Step 3: Cross multiply
    41,873.84x = 57,784.64 × 23,010.92
  4. Step 4: Simplify right side
    41,873.84x = 1,329,677,728.27
  5. Step 5: Solve for x
    x = 1,329,677,728.27/41,873.84
  6. Step 6: Final answer
    x = 31,754.38

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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.