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Finding the Fourth Proportional to 82,853.17, 114,337.52 and 47,043.19

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Solution

The fourth proportional to 82,853.17, 114,337.52 and 47,043.19 is: 64,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,853.17 : 114,337.52 = 47,043.19 : x
  2. Step 2: Convert to fraction form
    82,853.17/114,337.52 = 47,043.19/x
  3. Step 3: Cross multiply
    82,853.17x = 114,337.52 × 47,043.19
  4. Step 4: Simplify right side
    82,853.17x = 5,378,801,165.77
  5. Step 5: Solve for x
    x = 5,378,801,165.77/82,853.17
  6. Step 6: Final answer
    x = 64,919.68

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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.