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Finding the Fourth Proportional to 113,696.64, 170,472.04 and 47,182.68

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Solution

The fourth proportional to 113,696.64, 170,472.04 and 47,182.68 is: 70,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,696.64 : 170,472.04 = 47,182.68 : x
  2. Step 2: Convert to fraction form
    113,696.64/170,472.04 = 47,182.68/x
  3. Step 3: Cross multiply
    113,696.64x = 170,472.04 × 47,182.68
  4. Step 4: Simplify right side
    113,696.64x = 8,043,327,712.27
  5. Step 5: Solve for x
    x = 8,043,327,712.27/113,696.64
  6. Step 6: Final answer
    x = 70,743.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.