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Finding the Fourth Proportional to 76,758.36, 115,153.20 and 32,385

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Solution

The fourth proportional to 76,758.36, 115,153.20 and 32,385 is: 48,584.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,758.36 : 115,153.20 = 32,385 : x
  2. Step 2: Convert to fraction form
    76,758.36/115,153.20 = 32,385/x
  3. Step 3: Cross multiply
    76,758.36x = 115,153.20 × 32,385
  4. Step 4: Simplify right side
    76,758.36x = 3,729,236,382
  5. Step 5: Solve for x
    x = 3,729,236,382/76,758.36
  6. Step 6: Final answer
    x = 48,584.11

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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.