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Finding the Fourth Proportional to 30,269.50, 45,398.88 and 9,204.44

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Solution

The fourth proportional to 30,269.50, 45,398.88 and 9,204.44 is: 13,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,269.50 : 45,398.88 = 9,204.44 : x
  2. Step 2: Convert to fraction form
    30,269.50/45,398.88 = 9,204.44/x
  3. Step 3: Cross multiply
    30,269.50x = 45,398.88 × 9,204.44
  4. Step 4: Simplify right side
    30,269.50x = 417,871,040.03
  5. Step 5: Solve for x
    x = 417,871,040.03/30,269.50
  6. Step 6: Final answer
    x = 13,805.02

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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.