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Finding the Fourth Proportional to 29,172.51, 43,793.46 and 27,984.24

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Solution

The fourth proportional to 29,172.51, 43,793.46 and 27,984.24 is: 42,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,172.51 : 43,793.46 = 27,984.24 : x
  2. Step 2: Convert to fraction form
    29,172.51/43,793.46 = 27,984.24/x
  3. Step 3: Cross multiply
    29,172.51x = 43,793.46 × 27,984.24
  4. Step 4: Simplify right side
    29,172.51x = 1,225,526,695.07
  5. Step 5: Solve for x
    x = 1,225,526,695.07/29,172.51
  6. Step 6: Final answer
    x = 42,009.64

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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.