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Finding the Fourth Proportional to 111,811.28, 167,639.16 and 41,671.76

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Solution

The fourth proportional to 111,811.28, 167,639.16 and 41,671.76 is: 62,478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,811.28 : 167,639.16 = 41,671.76 : x
  2. Step 2: Convert to fraction form
    111,811.28/167,639.16 = 41,671.76/x
  3. Step 3: Cross multiply
    111,811.28x = 167,639.16 × 41,671.76
  4. Step 4: Simplify right side
    111,811.28x = 6,985,818,842.12
  5. Step 5: Solve for x
    x = 6,985,818,842.12/111,811.28
  6. Step 6: Final answer
    x = 62,478.66

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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.