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Finding the Fourth Proportional to 40,361.16, 60,454.22 and 19,541

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Solution

The fourth proportional to 40,361.16, 60,454.22 and 19,541 is: 29,269.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,361.16 : 60,454.22 = 19,541 : x
  2. Step 2: Convert to fraction form
    40,361.16/60,454.22 = 19,541/x
  3. Step 3: Cross multiply
    40,361.16x = 60,454.22 × 19,541
  4. Step 4: Simplify right side
    40,361.16x = 1,181,335,913.02
  5. Step 5: Solve for x
    x = 1,181,335,913.02/40,361.16
  6. Step 6: Final answer
    x = 29,269.13

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Why These Related Problems?

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