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Finding the Fourth Proportional to 20,502.02, 30,753.15 and 5,710.97

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Solution

The fourth proportional to 20,502.02, 30,753.15 and 5,710.97 is: 8,566.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.02 : 30,753.15 = 5,710.97 : x
  2. Step 2: Convert to fraction form
    20,502.02/30,753.15 = 5,710.97/x
  3. Step 3: Cross multiply
    20,502.02x = 30,753.15 × 5,710.97
  4. Step 4: Simplify right side
    20,502.02x = 175,630,317.06
  5. Step 5: Solve for x
    x = 175,630,317.06/20,502.02
  6. Step 6: Final answer
    x = 8,566.49

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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.