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Finding the Fourth Proportional to 31,801.01, 47,709 and 31,272.08

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Solution

The fourth proportional to 31,801.01, 47,709 and 31,272.08 is: 46,915.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801.01 : 47,709 = 31,272.08 : x
  2. Step 2: Convert to fraction form
    31,801.01/47,709 = 31,272.08/x
  3. Step 3: Cross multiply
    31,801.01x = 47,709 × 31,272.08
  4. Step 4: Simplify right side
    31,801.01x = 1,491,959,426.18
  5. Step 5: Solve for x
    x = 1,491,959,426.18/31,801.01
  6. Step 6: Final answer
    x = 46,915.48

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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.