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Finding the Fourth Proportional to 73,830.64, 110,747.72 and 26,449

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Solution

The fourth proportional to 73,830.64, 110,747.72 and 26,449 is: 39,674.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,830.64 : 110,747.72 = 26,449 : x
  2. Step 2: Convert to fraction form
    73,830.64/110,747.72 = 26,449/x
  3. Step 3: Cross multiply
    73,830.64x = 110,747.72 × 26,449
  4. Step 4: Simplify right side
    73,830.64x = 2,929,166,446.28
  5. Step 5: Solve for x
    x = 2,929,166,446.28/73,830.64
  6. Step 6: Final answer
    x = 39,674.13

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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.