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Finding the Fourth Proportional to 31,100, 46,648.86 and 8,913.36

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Solution

The fourth proportional to 31,100, 46,648.86 and 8,913.36 is: 13,369.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,100 : 46,648.86 = 8,913.36 : x
  2. Step 2: Convert to fraction form
    31,100/46,648.86 = 8,913.36/x
  3. Step 3: Cross multiply
    31,100x = 46,648.86 × 8,913.36
  4. Step 4: Simplify right side
    31,100x = 415,798,082.77
  5. Step 5: Solve for x
    x = 415,798,082.77/31,100
  6. Step 6: Final answer
    x = 13,369.71

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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.