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Finding the Fourth Proportional to 30,542.40, 45,799.16 and 11,831.20

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Solution

The fourth proportional to 30,542.40, 45,799.16 and 11,831.20 is: 17,741.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,542.40 : 45,799.16 = 11,831.20 : x
  2. Step 2: Convert to fraction form
    30,542.40/45,799.16 = 11,831.20/x
  3. Step 3: Cross multiply
    30,542.40x = 45,799.16 × 11,831.20
  4. Step 4: Simplify right side
    30,542.40x = 541,859,021.79
  5. Step 5: Solve for x
    x = 541,859,021.79/30,542.40
  6. Step 6: Final answer
    x = 17,741.21

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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.