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Finding the Fourth Proportional to 76,836.66, 115,242.03 and 24,238.50

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Solution

The fourth proportional to 76,836.66, 115,242.03 and 24,238.50 is: 36,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,836.66 : 115,242.03 = 24,238.50 : x
  2. Step 2: Convert to fraction form
    76,836.66/115,242.03 = 24,238.50/x
  3. Step 3: Cross multiply
    76,836.66x = 115,242.03 × 24,238.50
  4. Step 4: Simplify right side
    76,836.66x = 2,793,293,944.16
  5. Step 5: Solve for x
    x = 2,793,293,944.16/76,836.66
  6. Step 6: Final answer
    x = 36,353.66

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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.