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Finding the Fourth Proportional to 111,793.74, 167,527.52 and 51,840.50

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Solution

The fourth proportional to 111,793.74, 167,527.52 and 51,840.50 is: 77,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,793.74 : 167,527.52 = 51,840.50 : x
  2. Step 2: Convert to fraction form
    111,793.74/167,527.52 = 51,840.50/x
  3. Step 3: Cross multiply
    111,793.74x = 167,527.52 × 51,840.50
  4. Step 4: Simplify right side
    111,793.74x = 8,684,710,400.56
  5. Step 5: Solve for x
    x = 8,684,710,400.56/111,793.74
  6. Step 6: Final answer
    x = 77,685.12

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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.