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Finding the Fourth Proportional to 111,645.20, 167,482.32 and 36,773

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Solution

The fourth proportional to 111,645.20, 167,482.32 and 36,773 is: 55,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,645.20 : 167,482.32 = 36,773 : x
  2. Step 2: Convert to fraction form
    111,645.20/167,482.32 = 36,773/x
  3. Step 3: Cross multiply
    111,645.20x = 167,482.32 × 36,773
  4. Step 4: Simplify right side
    111,645.20x = 6,158,827,353.36
  5. Step 5: Solve for x
    x = 6,158,827,353.36/111,645.20
  6. Step 6: Final answer
    x = 55,164.28

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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.