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Finding the Fourth Proportional to 75,138.66, 112,729.95 and 33,575.94

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Solution

The fourth proportional to 75,138.66, 112,729.95 and 33,575.94 is: 50,373.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138.66 : 112,729.95 = 33,575.94 : x
  2. Step 2: Convert to fraction form
    75,138.66/112,729.95 = 33,575.94/x
  3. Step 3: Cross multiply
    75,138.66x = 112,729.95 × 33,575.94
  4. Step 4: Simplify right side
    75,138.66x = 3,785,014,037.40
  5. Step 5: Solve for x
    x = 3,785,014,037.40/75,138.66
  6. Step 6: Final answer
    x = 50,373.72

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