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Finding the Fourth Proportional to 30,133.42, 45,209.24 and 11,419.18

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Solution

The fourth proportional to 30,133.42, 45,209.24 and 11,419.18 is: 17,132.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,133.42 : 45,209.24 = 11,419.18 : x
  2. Step 2: Convert to fraction form
    30,133.42/45,209.24 = 11,419.18/x
  3. Step 3: Cross multiply
    30,133.42x = 45,209.24 × 11,419.18
  4. Step 4: Simplify right side
    30,133.42x = 516,252,321.93
  5. Step 5: Solve for x
    x = 516,252,321.93/30,133.42
  6. Step 6: Final answer
    x = 17,132.22

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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.