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Finding the Fourth Proportional to 111,527.64, 167,317.79 and 36,648

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Solution

The fourth proportional to 111,527.64, 167,317.79 and 36,648 is: 54,980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,527.64 : 167,317.79 = 36,648 : x
  2. Step 2: Convert to fraction form
    111,527.64/167,317.79 = 36,648/x
  3. Step 3: Cross multiply
    111,527.64x = 167,317.79 × 36,648
  4. Step 4: Simplify right side
    111,527.64x = 6,131,862,184.68
  5. Step 5: Solve for x
    x = 6,131,862,184.68/111,527.64
  6. Step 6: Final answer
    x = 54,980.65

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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.