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Finding the Fourth Proportional to 111,578.98, 167,368.40 and 32,693.16

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Solution

The fourth proportional to 111,578.98, 167,368.40 and 32,693.16 is: 49,039.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,578.98 : 167,368.40 = 32,693.16 : x
  2. Step 2: Convert to fraction form
    111,578.98/167,368.40 = 32,693.16/x
  3. Step 3: Cross multiply
    111,578.98x = 167,368.40 × 32,693.16
  4. Step 4: Simplify right side
    111,578.98x = 5,471,801,880.14
  5. Step 5: Solve for x
    x = 5,471,801,880.14/111,578.98
  6. Step 6: Final answer
    x = 49,039.72

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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.