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Finding the Fourth Proportional to 38,057.88, 52,485.17 and 32,678.63

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Solution

The fourth proportional to 38,057.88, 52,485.17 and 32,678.63 is: 45,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.88 : 52,485.17 = 32,678.63 : x
  2. Step 2: Convert to fraction form
    38,057.88/52,485.17 = 32,678.63/x
  3. Step 3: Cross multiply
    38,057.88x = 52,485.17 × 32,678.63
  4. Step 4: Simplify right side
    38,057.88x = 1,715,143,025.10
  5. Step 5: Solve for x
    x = 1,715,143,025.10/38,057.88
  6. Step 6: Final answer
    x = 45,066.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.