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Finding the Fourth Proportional to 30,301.61, 45,452.36 and 13,642.18

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Solution

The fourth proportional to 30,301.61, 45,452.36 and 13,642.18 is: 20,463.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,301.61 : 45,452.36 = 13,642.18 : x
  2. Step 2: Convert to fraction form
    30,301.61/45,452.36 = 13,642.18/x
  3. Step 3: Cross multiply
    30,301.61x = 45,452.36 × 13,642.18
  4. Step 4: Simplify right side
    30,301.61x = 620,069,197.02
  5. Step 5: Solve for x
    x = 620,069,197.02/30,301.61
  6. Step 6: Final answer
    x = 20,463.24

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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.