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Finding the Fourth Proportional to 31,111.36, 46,667.23 and 7,737.80

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Solution

The fourth proportional to 31,111.36, 46,667.23 and 7,737.80 is: 11,606.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111.36 : 46,667.23 = 7,737.80 : x
  2. Step 2: Convert to fraction form
    31,111.36/46,667.23 = 7,737.80/x
  3. Step 3: Cross multiply
    31,111.36x = 46,667.23 × 7,737.80
  4. Step 4: Simplify right side
    31,111.36x = 361,101,439.61
  5. Step 5: Solve for x
    x = 361,101,439.61/31,111.36
  6. Step 6: Final answer
    x = 11,606.74

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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.