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Finding the Fourth Proportional to 44,778, 61,794 and 24,906

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Solution

The fourth proportional to 44,778, 61,794 and 24,906 is: 34,370.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,778 : 61,794 = 24,906 : x
  2. Step 2: Convert to fraction form
    44,778/61,794 = 24,906/x
  3. Step 3: Cross multiply
    44,778x = 61,794 × 24,906
  4. Step 4: Simplify right side
    44,778x = 1,539,041,364
  5. Step 5: Solve for x
    x = 1,539,041,364/44,778
  6. Step 6: Final answer
    x = 34,370.48

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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.