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Finding the Fourth Proportional to 82,132.34, 113,342.61 and 46,322.28

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Solution

The fourth proportional to 82,132.34, 113,342.61 and 46,322.28 is: 63,924.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,132.34 : 113,342.61 = 46,322.28 : x
  2. Step 2: Convert to fraction form
    82,132.34/113,342.61 = 46,322.28/x
  3. Step 3: Cross multiply
    82,132.34x = 113,342.61 × 46,322.28
  4. Step 4: Simplify right side
    82,132.34x = 5,250,288,116.35
  5. Step 5: Solve for x
    x = 5,250,288,116.35/82,132.34
  6. Step 6: Final answer
    x = 63,924.73

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