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Finding the Fourth Proportional to 76,486.11, 114,562.80 and 36,960

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Solution

The fourth proportional to 76,486.11, 114,562.80 and 36,960 is: 55,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.11 : 114,562.80 = 36,960 : x
  2. Step 2: Convert to fraction form
    76,486.11/114,562.80 = 36,960/x
  3. Step 3: Cross multiply
    76,486.11x = 114,562.80 × 36,960
  4. Step 4: Simplify right side
    76,486.11x = 4,234,241,088
  5. Step 5: Solve for x
    x = 4,234,241,088/76,486.11
  6. Step 6: Final answer
    x = 55,359.61

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Why These Related Problems?

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