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Finding the Fourth Proportional to 75,203.47, 103,770.91 and 44,977.76

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Solution

The fourth proportional to 75,203.47, 103,770.91 and 44,977.76 is: 62,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,203.47 : 103,770.91 = 44,977.76 : x
  2. Step 2: Convert to fraction form
    75,203.47/103,770.91 = 44,977.76/x
  3. Step 3: Cross multiply
    75,203.47x = 103,770.91 × 44,977.76
  4. Step 4: Simplify right side
    75,203.47x = 4,667,383,595.18
  5. Step 5: Solve for x
    x = 4,667,383,595.18/75,203.47
  6. Step 6: Final answer
    x = 62,063.41

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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.