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Finding the Fourth Proportional to 31,658.16, 43,702.44 and 20,178.02

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Solution

The fourth proportional to 31,658.16, 43,702.44 and 20,178.02 is: 27,854.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,658.16 : 43,702.44 = 20,178.02 : x
  2. Step 2: Convert to fraction form
    31,658.16/43,702.44 = 20,178.02/x
  3. Step 3: Cross multiply
    31,658.16x = 43,702.44 × 20,178.02
  4. Step 4: Simplify right side
    31,658.16x = 881,828,708.37
  5. Step 5: Solve for x
    x = 881,828,708.37/31,658.16
  6. Step 6: Final answer
    x = 27,854.71

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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.