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Finding the Fourth Proportional to 31,291.38, 46,904.27 and 14,637.38

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Solution

The fourth proportional to 31,291.38, 46,904.27 and 14,637.38 is: 21,940.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,291.38 : 46,904.27 = 14,637.38 : x
  2. Step 2: Convert to fraction form
    31,291.38/46,904.27 = 14,637.38/x
  3. Step 3: Cross multiply
    31,291.38x = 46,904.27 × 14,637.38
  4. Step 4: Simplify right side
    31,291.38x = 686,555,315.90
  5. Step 5: Solve for x
    x = 686,555,315.90/31,291.38
  6. Step 6: Final answer
    x = 21,940.72

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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.