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Finding the Fourth Proportional to 75,531.10, 104,234.13 and 41,541.10

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Solution

The fourth proportional to 75,531.10, 104,234.13 and 41,541.10 is: 57,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,531.10 : 104,234.13 = 41,541.10 : x
  2. Step 2: Convert to fraction form
    75,531.10/104,234.13 = 41,541.10/x
  3. Step 3: Cross multiply
    75,531.10x = 104,234.13 × 41,541.10
  4. Step 4: Simplify right side
    75,531.10x = 4,330,000,417.74
  5. Step 5: Solve for x
    x = 4,330,000,417.74/75,531.10
  6. Step 6: Final answer
    x = 57,327.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.