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Finding the Fourth Proportional to 75,377.84, 104,017.91 and 45,179.82

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Solution

The fourth proportional to 75,377.84, 104,017.91 and 45,179.82 is: 62,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,377.84 : 104,017.91 = 45,179.82 : x
  2. Step 2: Convert to fraction form
    75,377.84/104,017.91 = 45,179.82/x
  3. Step 3: Cross multiply
    75,377.84x = 104,017.91 × 45,179.82
  4. Step 4: Simplify right side
    75,377.84x = 4,699,510,224.68
  5. Step 5: Solve for x
    x = 4,699,510,224.68/75,377.84
  6. Step 6: Final answer
    x = 62,346.05

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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.