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Finding the Fourth Proportional to 54,914.16, 82,371.06 and 19,853.76

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Solution

The fourth proportional to 54,914.16, 82,371.06 and 19,853.76 is: 29,780.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,914.16 : 82,371.06 = 19,853.76 : x
  2. Step 2: Convert to fraction form
    54,914.16/82,371.06 = 19,853.76/x
  3. Step 3: Cross multiply
    54,914.16x = 82,371.06 × 19,853.76
  4. Step 4: Simplify right side
    54,914.16x = 1,635,375,256.19
  5. Step 5: Solve for x
    x = 1,635,375,256.19/54,914.16
  6. Step 6: Final answer
    x = 29,780.57

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1.5x scale

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.