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Finding the Fourth Proportional to 31,955.12, 47,926.08 and 8,576

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Solution

The fourth proportional to 31,955.12, 47,926.08 and 8,576 is: 12,862.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,955.12 : 47,926.08 = 8,576 : x
  2. Step 2: Convert to fraction form
    31,955.12/47,926.08 = 8,576/x
  3. Step 3: Cross multiply
    31,955.12x = 47,926.08 × 8,576
  4. Step 4: Simplify right side
    31,955.12x = 411,014,062.08
  5. Step 5: Solve for x
    x = 411,014,062.08/31,955.12
  6. Step 6: Final answer
    x = 12,862.23

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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.