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Finding the Fourth Proportional to 31,106.64, 46,663.92 and 11,394.48

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Solution

The fourth proportional to 31,106.64, 46,663.92 and 11,394.48 is: 17,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106.64 : 46,663.92 = 11,394.48 : x
  2. Step 2: Convert to fraction form
    31,106.64/46,663.92 = 11,394.48/x
  3. Step 3: Cross multiply
    31,106.64x = 46,663.92 × 11,394.48
  4. Step 4: Simplify right side
    31,106.64x = 531,711,103.16
  5. Step 5: Solve for x
    x = 531,711,103.16/31,106.64
  6. Step 6: Final answer
    x = 17,093.17

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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.