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Finding the Fourth Proportional to 71,831.84, 107,674.08 and 32,416.64

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Solution

The fourth proportional to 71,831.84, 107,674.08 and 32,416.64 is: 48,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,831.84 : 107,674.08 = 32,416.64 : x
  2. Step 2: Convert to fraction form
    71,831.84/107,674.08 = 32,416.64/x
  3. Step 3: Cross multiply
    71,831.84x = 107,674.08 × 32,416.64
  4. Step 4: Simplify right side
    71,831.84x = 3,490,431,888.69
  5. Step 5: Solve for x
    x = 3,490,431,888.69/71,831.84
  6. Step 6: Final answer
    x = 48,591.71

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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.