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Finding the Fourth Proportional to 31,228.24, 46,842.42 and 7,854.70

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Solution

The fourth proportional to 31,228.24, 46,842.42 and 7,854.70 is: 11,782.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,228.24 : 46,842.42 = 7,854.70 : x
  2. Step 2: Convert to fraction form
    31,228.24/46,842.42 = 7,854.70/x
  3. Step 3: Cross multiply
    31,228.24x = 46,842.42 × 7,854.70
  4. Step 4: Simplify right side
    31,228.24x = 367,933,156.37
  5. Step 5: Solve for x
    x = 367,933,156.37/31,228.24
  6. Step 6: Final answer
    x = 11,782.07

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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.