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Finding the Fourth Proportional to 34,099.68, 47,056 and 18,991.52

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Solution

The fourth proportional to 34,099.68, 47,056 and 18,991.52 is: 26,207.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,099.68 : 47,056 = 18,991.52 : x
  2. Step 2: Convert to fraction form
    34,099.68/47,056 = 18,991.52/x
  3. Step 3: Cross multiply
    34,099.68x = 47,056 × 18,991.52
  4. Step 4: Simplify right side
    34,099.68x = 893,664,965.12
  5. Step 5: Solve for x
    x = 893,664,965.12/34,099.68
  6. Step 6: Final answer
    x = 26,207.43

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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.