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Finding the Fourth Proportional to 111,973.20, 167,959.80 and 33,088.20

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Solution

The fourth proportional to 111,973.20, 167,959.80 and 33,088.20 is: 49,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,973.20 : 167,959.80 = 33,088.20 : x
  2. Step 2: Convert to fraction form
    111,973.20/167,959.80 = 33,088.20/x
  3. Step 3: Cross multiply
    111,973.20x = 167,959.80 × 33,088.20
  4. Step 4: Simplify right side
    111,973.20x = 5,557,487,454.36
  5. Step 5: Solve for x
    x = 5,557,487,454.36/111,973.20
  6. Step 6: Final answer
    x = 49,632.30

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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.