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Finding the Fourth Proportional to 82,153.64, 113,371.78 and 44,427.88

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Solution

The fourth proportional to 82,153.64, 113,371.78 and 44,427.88 is: 61,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,153.64 : 113,371.78 = 44,427.88 : x
  2. Step 2: Convert to fraction form
    82,153.64/113,371.78 = 44,427.88/x
  3. Step 3: Cross multiply
    82,153.64x = 113,371.78 × 44,427.88
  4. Step 4: Simplify right side
    82,153.64x = 5,036,867,837.23
  5. Step 5: Solve for x
    x = 5,036,867,837.23/82,153.64
  6. Step 6: Final answer
    x = 61,310.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.