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Finding the Fourth Proportional to 43,274.28, 59,723.82 and 24,411

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Solution

The fourth proportional to 43,274.28, 59,723.82 and 24,411 is: 33,690.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,274.28 : 59,723.82 = 24,411 : x
  2. Step 2: Convert to fraction form
    43,274.28/59,723.82 = 24,411/x
  3. Step 3: Cross multiply
    43,274.28x = 59,723.82 × 24,411
  4. Step 4: Simplify right side
    43,274.28x = 1,457,918,170.02
  5. Step 5: Solve for x
    x = 1,457,918,170.02/43,274.28
  6. Step 6: Final answer
    x = 33,690.18

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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.