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Finding the Fourth Proportional to 77,781.44, 116,676.48 and 22,376

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Solution

The fourth proportional to 77,781.44, 116,676.48 and 22,376 is: 33,565.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,781.44 : 116,676.48 = 22,376 : x
  2. Step 2: Convert to fraction form
    77,781.44/116,676.48 = 22,376/x
  3. Step 3: Cross multiply
    77,781.44x = 116,676.48 × 22,376
  4. Step 4: Simplify right side
    77,781.44x = 2,610,752,916.48
  5. Step 5: Solve for x
    x = 2,610,752,916.48/77,781.44
  6. Step 6: Final answer
    x = 33,565.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.