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Finding the Fourth Proportional to 31,164.71, 42,992.36 and 22,653.64

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Solution

The fourth proportional to 31,164.71, 42,992.36 and 22,653.64 is: 31,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.71 : 42,992.36 = 22,653.64 : x
  2. Step 2: Convert to fraction form
    31,164.71/42,992.36 = 22,653.64/x
  3. Step 3: Cross multiply
    31,164.71x = 42,992.36 × 22,653.64
  4. Step 4: Simplify right side
    31,164.71x = 973,933,446.19
  5. Step 5: Solve for x
    x = 973,933,446.19/31,164.71
  6. Step 6: Final answer
    x = 31,251.16

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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.