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Finding the Fourth Proportional to 31,311.72, 43,218.09 and 19,368

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Solution

The fourth proportional to 31,311.72, 43,218.09 and 19,368 is: 26,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,311.72 : 43,218.09 = 19,368 : x
  2. Step 2: Convert to fraction form
    31,311.72/43,218.09 = 19,368/x
  3. Step 3: Cross multiply
    31,311.72x = 43,218.09 × 19,368
  4. Step 4: Simplify right side
    31,311.72x = 837,047,967.12
  5. Step 5: Solve for x
    x = 837,047,967.12/31,311.72
  6. Step 6: Final answer
    x = 26,732.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.