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Finding the Fourth Proportional to 31,109.40, 46,658.70 and 11,377.80

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Solution

The fourth proportional to 31,109.40, 46,658.70 and 11,377.80 is: 17,064.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,109.40 : 46,658.70 = 11,377.80 : x
  2. Step 2: Convert to fraction form
    31,109.40/46,658.70 = 11,377.80/x
  3. Step 3: Cross multiply
    31,109.40x = 46,658.70 × 11,377.80
  4. Step 4: Simplify right side
    31,109.40x = 530,873,356.86
  5. Step 5: Solve for x
    x = 530,873,356.86/31,109.40
  6. Step 6: Final answer
    x = 17,064.73

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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.