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Finding the Fourth Proportional to 31,305.60, 46,962.48 and 10,238.28

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Solution

The fourth proportional to 31,305.60, 46,962.48 and 10,238.28 is: 15,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,305.60 : 46,962.48 = 10,238.28 : x
  2. Step 2: Convert to fraction form
    31,305.60/46,962.48 = 10,238.28/x
  3. Step 3: Cross multiply
    31,305.60x = 46,962.48 × 10,238.28
  4. Step 4: Simplify right side
    31,305.60x = 480,815,019.73
  5. Step 5: Solve for x
    x = 480,815,019.73/31,305.60
  6. Step 6: Final answer
    x = 15,358.75

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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.