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Finding the Fourth Proportional to 34,419.69, 47,499.35 and 20,089.53

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Solution

The fourth proportional to 34,419.69, 47,499.35 and 20,089.53 is: 27,723.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,419.69 : 47,499.35 = 20,089.53 : x
  2. Step 2: Convert to fraction form
    34,419.69/47,499.35 = 20,089.53/x
  3. Step 3: Cross multiply
    34,419.69x = 47,499.35 × 20,089.53
  4. Step 4: Simplify right side
    34,419.69x = 954,239,516.36
  5. Step 5: Solve for x
    x = 954,239,516.36/34,419.69
  6. Step 6: Final answer
    x = 27,723.65

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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.