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Finding the Fourth Proportional to 132,054.32, 182,233.32 and 71,624

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Solution

The fourth proportional to 132,054.32, 182,233.32 and 71,624 is: 98,840.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,054.32 : 182,233.32 = 71,624 : x
  2. Step 2: Convert to fraction form
    132,054.32/182,233.32 = 71,624/x
  3. Step 3: Cross multiply
    132,054.32x = 182,233.32 × 71,624
  4. Step 4: Simplify right side
    132,054.32x = 13,052,279,311.68
  5. Step 5: Solve for x
    x = 13,052,279,311.68/132,054.32
  6. Step 6: Final answer
    x = 98,840.23

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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.