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Finding the Fourth Proportional to 76,223.32, 114,374 and 36,287.48

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Solution

The fourth proportional to 76,223.32, 114,374 and 36,287.48 is: 54,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,223.32 : 114,374 = 36,287.48 : x
  2. Step 2: Convert to fraction form
    76,223.32/114,374 = 36,287.48/x
  3. Step 3: Cross multiply
    76,223.32x = 114,374 × 36,287.48
  4. Step 4: Simplify right side
    76,223.32x = 4,150,344,237.52
  5. Step 5: Solve for x
    x = 4,150,344,237.52/76,223.32
  6. Step 6: Final answer
    x = 54,449.80

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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.