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Finding the Fourth Proportional to 37,859.32, 56,787.78 and 11,563

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Solution

The fourth proportional to 37,859.32, 56,787.78 and 11,563 is: 17,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,859.32 : 56,787.78 = 11,563 : x
  2. Step 2: Convert to fraction form
    37,859.32/56,787.78 = 11,563/x
  3. Step 3: Cross multiply
    37,859.32x = 56,787.78 × 11,563
  4. Step 4: Simplify right side
    37,859.32x = 656,637,100.14
  5. Step 5: Solve for x
    x = 656,637,100.14/37,859.32
  6. Step 6: Final answer
    x = 17,344.13

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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.