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Finding the Fourth Proportional to 30,806.47, 42,419.72 and 25,408.83

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Solution

The fourth proportional to 30,806.47, 42,419.72 and 25,408.83 is: 34,987.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,806.47 : 42,419.72 = 25,408.83 : x
  2. Step 2: Convert to fraction form
    30,806.47/42,419.72 = 25,408.83/x
  3. Step 3: Cross multiply
    30,806.47x = 42,419.72 × 25,408.83
  4. Step 4: Simplify right side
    30,806.47x = 1,077,835,517.65
  5. Step 5: Solve for x
    x = 1,077,835,517.65/30,806.47
  6. Step 6: Final answer
    x = 34,987.31

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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.