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Finding the Fourth Proportional to 31,359.52, 43,277.56 and 18,784

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Solution

The fourth proportional to 31,359.52, 43,277.56 and 18,784 is: 25,922.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,359.52 : 43,277.56 = 18,784 : x
  2. Step 2: Convert to fraction form
    31,359.52/43,277.56 = 18,784/x
  3. Step 3: Cross multiply
    31,359.52x = 43,277.56 × 18,784
  4. Step 4: Simplify right side
    31,359.52x = 812,925,687.04
  5. Step 5: Solve for x
    x = 812,925,687.04/31,359.52
  6. Step 6: Final answer
    x = 25,922.77

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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.