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Finding the Fourth Proportional to 73,831.64, 110,770.31 and 31,159.15

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Solution

The fourth proportional to 73,831.64, 110,770.31 and 31,159.15 is: 46,748.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,831.64 : 110,770.31 = 31,159.15 : x
  2. Step 2: Convert to fraction form
    73,831.64/110,770.31 = 31,159.15/x
  3. Step 3: Cross multiply
    73,831.64x = 110,770.31 × 31,159.15
  4. Step 4: Simplify right side
    73,831.64x = 3,451,508,505.81
  5. Step 5: Solve for x
    x = 3,451,508,505.81/73,831.64
  6. Step 6: Final answer
    x = 46,748.37

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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.