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Finding the Fourth Proportional to 41,842, 57,747.08 and 24,178

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Solution

The fourth proportional to 41,842, 57,747.08 and 24,178 is: 33,368.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,842 : 57,747.08 = 24,178 : x
  2. Step 2: Convert to fraction form
    41,842/57,747.08 = 24,178/x
  3. Step 3: Cross multiply
    41,842x = 57,747.08 × 24,178
  4. Step 4: Simplify right side
    41,842x = 1,396,208,900.24
  5. Step 5: Solve for x
    x = 1,396,208,900.24/41,842
  6. Step 6: Final answer
    x = 33,368.60

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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.