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Finding the Fourth Proportional to 132,052.32, 182,230.56 and 71,622

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Solution

The fourth proportional to 132,052.32, 182,230.56 and 71,622 is: 98,837.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,052.32 : 182,230.56 = 71,622 : x
  2. Step 2: Convert to fraction form
    132,052.32/182,230.56 = 71,622/x
  3. Step 3: Cross multiply
    132,052.32x = 182,230.56 × 71,622
  4. Step 4: Simplify right side
    132,052.32x = 13,051,717,168.32
  5. Step 5: Solve for x
    x = 13,051,717,168.32/132,052.32
  6. Step 6: Final answer
    x = 98,837.47

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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.