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Finding the Fourth Proportional to 37,894.80, 56,843.28 and 14,523.06

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Solution

The fourth proportional to 37,894.80, 56,843.28 and 14,523.06 is: 21,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,894.80 : 56,843.28 = 14,523.06 : x
  2. Step 2: Convert to fraction form
    37,894.80/56,843.28 = 14,523.06/x
  3. Step 3: Cross multiply
    37,894.80x = 56,843.28 × 14,523.06
  4. Step 4: Simplify right side
    37,894.80x = 825,538,366.04
  5. Step 5: Solve for x
    x = 825,538,366.04/37,894.80
  6. Step 6: Final answer
    x = 21,785.00

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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.