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Finding the Fourth Proportional to 31,111.72, 46,648.81 and 12,394.64

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Solution

The fourth proportional to 31,111.72, 46,648.81 and 12,394.64 is: 18,584.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111.72 : 46,648.81 = 12,394.64 : x
  2. Step 2: Convert to fraction form
    31,111.72/46,648.81 = 12,394.64/x
  3. Step 3: Cross multiply
    31,111.72x = 46,648.81 × 12,394.64
  4. Step 4: Simplify right side
    31,111.72x = 578,195,338.49
  5. Step 5: Solve for x
    x = 578,195,338.49/31,111.72
  6. Step 6: Final answer
    x = 18,584.49

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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.