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Finding the Fourth Proportional to 75,116, 103,660.08 and 41,582

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Solution

The fourth proportional to 75,116, 103,660.08 and 41,582 is: 57,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,116 : 103,660.08 = 41,582 : x
  2. Step 2: Convert to fraction form
    75,116/103,660.08 = 41,582/x
  3. Step 3: Cross multiply
    75,116x = 103,660.08 × 41,582
  4. Step 4: Simplify right side
    75,116x = 4,310,393,446.56
  5. Step 5: Solve for x
    x = 4,310,393,446.56/75,116
  6. Step 6: Final answer
    x = 57,383.16

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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.