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Finding the Fourth Proportional to 31,778.71, 47,652.91 and 11,774.48

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Solution

The fourth proportional to 31,778.71, 47,652.91 and 11,774.48 is: 17,656.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.71 : 47,652.91 = 11,774.48 : x
  2. Step 2: Convert to fraction form
    31,778.71/47,652.91 = 11,774.48/x
  3. Step 3: Cross multiply
    31,778.71x = 47,652.91 × 11,774.48
  4. Step 4: Simplify right side
    31,778.71x = 561,087,968.04
  5. Step 5: Solve for x
    x = 561,087,968.04/31,778.71
  6. Step 6: Final answer
    x = 17,656.10

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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.