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Finding the Fourth Proportional to 29,374.94, 40,538.09 and 17,438.31

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Solution

The fourth proportional to 29,374.94, 40,538.09 and 17,438.31 is: 24,065.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,374.94 : 40,538.09 = 17,438.31 : x
  2. Step 2: Convert to fraction form
    29,374.94/40,538.09 = 17,438.31/x
  3. Step 3: Cross multiply
    29,374.94x = 40,538.09 × 17,438.31
  4. Step 4: Simplify right side
    29,374.94x = 706,915,693.04
  5. Step 5: Solve for x
    x = 706,915,693.04/29,374.94
  6. Step 6: Final answer
    x = 24,065.27

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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.