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Finding the Fourth Proportional to 111,938.64, 167,946.84 and 49,652.88

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Solution

The fourth proportional to 111,938.64, 167,946.84 and 49,652.88 is: 74,496.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,938.64 : 167,946.84 = 49,652.88 : x
  2. Step 2: Convert to fraction form
    111,938.64/167,946.84 = 49,652.88/x
  3. Step 3: Cross multiply
    111,938.64x = 167,946.84 × 49,652.88
  4. Step 4: Simplify right side
    111,938.64x = 8,339,044,292.90
  5. Step 5: Solve for x
    x = 8,339,044,292.90/111,938.64
  6. Step 6: Final answer
    x = 74,496.57

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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.