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Finding the Fourth Proportional to 24,742.97, 37,114.48 and 6,023.01

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Solution

The fourth proportional to 24,742.97, 37,114.48 and 6,023.01 is: 9,034.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,742.97 : 37,114.48 = 6,023.01 : x
  2. Step 2: Convert to fraction form
    24,742.97/37,114.48 = 6,023.01/x
  3. Step 3: Cross multiply
    24,742.97x = 37,114.48 × 6,023.01
  4. Step 4: Simplify right side
    24,742.97x = 223,540,884.18
  5. Step 5: Solve for x
    x = 223,540,884.18/24,742.97
  6. Step 6: Final answer
    x = 9,034.52

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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.