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Finding the Fourth Proportional to 31,441.52, 43,384.52 and 17,828.81

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Solution

The fourth proportional to 31,441.52, 43,384.52 and 17,828.81 is: 24,601.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,441.52 : 43,384.52 = 17,828.81 : x
  2. Step 2: Convert to fraction form
    31,441.52/43,384.52 = 17,828.81/x
  3. Step 3: Cross multiply
    31,441.52x = 43,384.52 × 17,828.81
  4. Step 4: Simplify right side
    31,441.52x = 773,494,364.02
  5. Step 5: Solve for x
    x = 773,494,364.02/31,441.52
  6. Step 6: Final answer
    x = 24,601.05

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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.