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Finding the Fourth Proportional to 78,037.74, 107,692.44 and 44,047.66

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Solution

The fourth proportional to 78,037.74, 107,692.44 and 44,047.66 is: 60,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,037.74 : 107,692.44 = 44,047.66 : x
  2. Step 2: Convert to fraction form
    78,037.74/107,692.44 = 44,047.66/x
  3. Step 3: Cross multiply
    78,037.74x = 107,692.44 × 44,047.66
  4. Step 4: Simplify right side
    78,037.74x = 4,743,599,981.69
  5. Step 5: Solve for x
    x = 4,743,599,981.69/78,037.74
  6. Step 6: Final answer
    x = 60,785.97

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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.