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Finding the Fourth Proportional to 31,954.40, 44,088.56 and 17,804

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Solution

The fourth proportional to 31,954.40, 44,088.56 and 17,804 is: 24,564.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,954.40 : 44,088.56 = 17,804 : x
  2. Step 2: Convert to fraction form
    31,954.40/44,088.56 = 17,804/x
  3. Step 3: Cross multiply
    31,954.40x = 44,088.56 × 17,804
  4. Step 4: Simplify right side
    31,954.40x = 784,952,722.24
  5. Step 5: Solve for x
    x = 784,952,722.24/31,954.40
  6. Step 6: Final answer
    x = 24,564.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.