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Finding the Fourth Proportional to 75,959.62, 113,939.70 and 44,773

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Solution

The fourth proportional to 75,959.62, 113,939.70 and 44,773 is: 67,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,959.62 : 113,939.70 = 44,773 : x
  2. Step 2: Convert to fraction form
    75,959.62/113,939.70 = 44,773/x
  3. Step 3: Cross multiply
    75,959.62x = 113,939.70 × 44,773
  4. Step 4: Simplify right side
    75,959.62x = 5,101,422,188.10
  5. Step 5: Solve for x
    x = 5,101,422,188.10/75,959.62
  6. Step 6: Final answer
    x = 67,159.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.