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Finding the Fourth Proportional to 44,791, 61,811.64 and 24,919

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Solution

The fourth proportional to 44,791, 61,811.64 and 24,919 is: 34,388.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,791 : 61,811.64 = 24,919 : x
  2. Step 2: Convert to fraction form
    44,791/61,811.64 = 24,919/x
  3. Step 3: Cross multiply
    44,791x = 61,811.64 × 24,919
  4. Step 4: Simplify right side
    44,791x = 1,540,284,257.16
  5. Step 5: Solve for x
    x = 1,540,284,257.16/44,791
  6. Step 6: Final answer
    x = 34,388.25

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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.