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Finding the Fourth Proportional to 30,301.52, 45,452.16 and 9,241.50

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Solution

The fourth proportional to 30,301.52, 45,452.16 and 9,241.50 is: 13,862.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,301.52 : 45,452.16 = 9,241.50 : x
  2. Step 2: Convert to fraction form
    30,301.52/45,452.16 = 9,241.50/x
  3. Step 3: Cross multiply
    30,301.52x = 45,452.16 × 9,241.50
  4. Step 4: Simplify right side
    30,301.52x = 420,046,136.64
  5. Step 5: Solve for x
    x = 420,046,136.64/30,301.52
  6. Step 6: Final answer
    x = 13,862.21

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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.