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Finding the Fourth Proportional to 111,680.76, 167,521.14 and 37,803

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Solution

The fourth proportional to 111,680.76, 167,521.14 and 37,803 is: 56,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,680.76 : 167,521.14 = 37,803 : x
  2. Step 2: Convert to fraction form
    111,680.76/167,521.14 = 37,803/x
  3. Step 3: Cross multiply
    111,680.76x = 167,521.14 × 37,803
  4. Step 4: Simplify right side
    111,680.76x = 6,332,801,655.42
  5. Step 5: Solve for x
    x = 6,332,801,655.42/111,680.76
  6. Step 6: Final answer
    x = 56,704.50

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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.