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Finding the Fourth Proportional to 30,361.97, 45,541.17 and 11,641.25

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Solution

The fourth proportional to 30,361.97, 45,541.17 and 11,641.25 is: 17,461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,361.97 : 45,541.17 = 11,641.25 : x
  2. Step 2: Convert to fraction form
    30,361.97/45,541.17 = 11,641.25/x
  3. Step 3: Cross multiply
    30,361.97x = 45,541.17 × 11,641.25
  4. Step 4: Simplify right side
    30,361.97x = 530,156,259.12
  5. Step 5: Solve for x
    x = 530,156,259.12/30,361.97
  6. Step 6: Final answer
    x = 17,461.19

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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.