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Finding the Fourth Proportional to 75,242.72, 103,836.13 and 41,254.31

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Solution

The fourth proportional to 75,242.72, 103,836.13 and 41,254.31 is: 56,931.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,242.72 : 103,836.13 = 41,254.31 : x
  2. Step 2: Convert to fraction form
    75,242.72/103,836.13 = 41,254.31/x
  3. Step 3: Cross multiply
    75,242.72x = 103,836.13 × 41,254.31
  4. Step 4: Simplify right side
    75,242.72x = 4,283,688,052.67
  5. Step 5: Solve for x
    x = 4,283,688,052.67/75,242.72
  6. Step 6: Final answer
    x = 56,931.59

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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.