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Finding the Fourth Proportional to 31,486.50, 47,182.14 and 18,992.64

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Solution

The fourth proportional to 31,486.50, 47,182.14 and 18,992.64 is: 28,460.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,486.50 : 47,182.14 = 18,992.64 : x
  2. Step 2: Convert to fraction form
    31,486.50/47,182.14 = 18,992.64/x
  3. Step 3: Cross multiply
    31,486.50x = 47,182.14 × 18,992.64
  4. Step 4: Simplify right side
    31,486.50x = 896,113,399.45
  5. Step 5: Solve for x
    x = 896,113,399.45/31,486.50
  6. Step 6: Final answer
    x = 28,460.24

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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.