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Finding the Fourth Proportional to 31,899.36, 47,853.36 and 11,118

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Solution

The fourth proportional to 31,899.36, 47,853.36 and 11,118 is: 16,678.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,899.36 : 47,853.36 = 11,118 : x
  2. Step 2: Convert to fraction form
    31,899.36/47,853.36 = 11,118/x
  3. Step 3: Cross multiply
    31,899.36x = 47,853.36 × 11,118
  4. Step 4: Simplify right side
    31,899.36x = 532,033,656.48
  5. Step 5: Solve for x
    x = 532,033,656.48/31,899.36
  6. Step 6: Final answer
    x = 16,678.51

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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.