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Finding the Fourth Proportional to 31,134.75, 46,702.53 and 10,358.25

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Solution

The fourth proportional to 31,134.75, 46,702.53 and 10,358.25 is: 15,537.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134.75 : 46,702.53 = 10,358.25 : x
  2. Step 2: Convert to fraction form
    31,134.75/46,702.53 = 10,358.25/x
  3. Step 3: Cross multiply
    31,134.75x = 46,702.53 × 10,358.25
  4. Step 4: Simplify right side
    31,134.75x = 483,756,481.37
  5. Step 5: Solve for x
    x = 483,756,481.37/31,134.75
  6. Step 6: Final answer
    x = 15,537.51

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