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Finding the Fourth Proportional to 30,468.80, 45,614.10 and 21,720.80

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Solution

The fourth proportional to 30,468.80, 45,614.10 and 21,720.80 is: 32,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,468.80 : 45,614.10 = 21,720.80 : x
  2. Step 2: Convert to fraction form
    30,468.80/45,614.10 = 21,720.80/x
  3. Step 3: Cross multiply
    30,468.80x = 45,614.10 × 21,720.80
  4. Step 4: Simplify right side
    30,468.80x = 990,774,743.28
  5. Step 5: Solve for x
    x = 990,774,743.28/30,468.80
  6. Step 6: Final answer
    x = 32,517.68

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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.