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Finding the Fourth Proportional to 111,641.20, 167,476.32 and 36,769

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Solution

The fourth proportional to 111,641.20, 167,476.32 and 36,769 is: 55,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,641.20 : 167,476.32 = 36,769 : x
  2. Step 2: Convert to fraction form
    111,641.20/167,476.32 = 36,769/x
  3. Step 3: Cross multiply
    111,641.20x = 167,476.32 × 36,769
  4. Step 4: Simplify right side
    111,641.20x = 6,157,936,810.08
  5. Step 5: Solve for x
    x = 6,157,936,810.08/111,641.20
  6. Step 6: Final answer
    x = 55,158.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.