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Finding the Fourth Proportional to 30,519.27, 45,742 and 15,720.12

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Solution

The fourth proportional to 30,519.27, 45,742 and 15,720.12 is: 23,561.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,519.27 : 45,742 = 15,720.12 : x
  2. Step 2: Convert to fraction form
    30,519.27/45,742 = 15,720.12/x
  3. Step 3: Cross multiply
    30,519.27x = 45,742 × 15,720.12
  4. Step 4: Simplify right side
    30,519.27x = 719,069,500.33
  5. Step 5: Solve for x
    x = 719,069,500.33/30,519.27
  6. Step 6: Final answer
    x = 23,561.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.