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Finding the Fourth Proportional to 76,839, 115,303.86 and 32,462.88

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Solution

The fourth proportional to 76,839, 115,303.86 and 32,462.88 is: 48,713.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,839 : 115,303.86 = 32,462.88 : x
  2. Step 2: Convert to fraction form
    76,839/115,303.86 = 32,462.88/x
  3. Step 3: Cross multiply
    76,839x = 115,303.86 × 32,462.88
  4. Step 4: Simplify right side
    76,839x = 3,743,095,370.72
  5. Step 5: Solve for x
    x = 3,743,095,370.72/76,839
  6. Step 6: Final answer
    x = 48,713.48

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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.