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Finding the Fourth Proportional to 75,551, 104,260.38 and 42,017

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Solution

The fourth proportional to 75,551, 104,260.38 and 42,017 is: 57,983.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,551 : 104,260.38 = 42,017 : x
  2. Step 2: Convert to fraction form
    75,551/104,260.38 = 42,017/x
  3. Step 3: Cross multiply
    75,551x = 104,260.38 × 42,017
  4. Step 4: Simplify right side
    75,551x = 4,380,708,386.46
  5. Step 5: Solve for x
    x = 4,380,708,386.46/75,551
  6. Step 6: Final answer
    x = 57,983.46

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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.