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Finding the Fourth Proportional to 57,044.40, 78,718.68 and 31,551

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Solution

The fourth proportional to 57,044.40, 78,718.68 and 31,551 is: 43,538.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,044.40 : 78,718.68 = 31,551 : x
  2. Step 2: Convert to fraction form
    57,044.40/78,718.68 = 31,551/x
  3. Step 3: Cross multiply
    57,044.40x = 78,718.68 × 31,551
  4. Step 4: Simplify right side
    57,044.40x = 2,483,653,072.68
  5. Step 5: Solve for x
    x = 2,483,653,072.68/57,044.40
  6. Step 6: Final answer
    x = 43,538.95

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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.