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Finding the Fourth Proportional to 76,400.67, 114,624.47 and 36,470.61

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Solution

The fourth proportional to 76,400.67, 114,624.47 and 36,470.61 is: 54,717.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,400.67 : 114,624.47 = 36,470.61 : x
  2. Step 2: Convert to fraction form
    76,400.67/114,624.47 = 36,470.61/x
  3. Step 3: Cross multiply
    76,400.67x = 114,624.47 × 36,470.61
  4. Step 4: Simplify right side
    76,400.67x = 4,180,424,433.00
  5. Step 5: Solve for x
    x = 4,180,424,433.00/76,400.67
  6. Step 6: Final answer
    x = 54,717.12

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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.