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Finding the Fourth Proportional to 31,491.72, 47,208.42 and 17,631

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Solution

The fourth proportional to 31,491.72, 47,208.42 and 17,631 is: 26,430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491.72 : 47,208.42 = 17,631 : x
  2. Step 2: Convert to fraction form
    31,491.72/47,208.42 = 17,631/x
  3. Step 3: Cross multiply
    31,491.72x = 47,208.42 × 17,631
  4. Step 4: Simplify right side
    31,491.72x = 832,331,653.02
  5. Step 5: Solve for x
    x = 832,331,653.02/31,491.72
  6. Step 6: Final answer
    x = 26,430.17

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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.