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Finding the Fourth Proportional to 30,720.50, 42,394.29 and 17,291.83

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Solution

The fourth proportional to 30,720.50, 42,394.29 and 17,291.83 is: 23,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720.50 : 42,394.29 = 17,291.83 : x
  2. Step 2: Convert to fraction form
    30,720.50/42,394.29 = 17,291.83/x
  3. Step 3: Cross multiply
    30,720.50x = 42,394.29 × 17,291.83
  4. Step 4: Simplify right side
    30,720.50x = 733,074,855.65
  5. Step 5: Solve for x
    x = 733,074,855.65/30,720.50
  6. Step 6: Final answer
    x = 23,862.73

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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.