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Finding the Fourth Proportional to 30,002.78, 45,031.82 and 15,222.03

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Solution

The fourth proportional to 30,002.78, 45,031.82 and 15,222.03 is: 22,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,002.78 : 45,031.82 = 15,222.03 : x
  2. Step 2: Convert to fraction form
    30,002.78/45,031.82 = 15,222.03/x
  3. Step 3: Cross multiply
    30,002.78x = 45,031.82 × 15,222.03
  4. Step 4: Simplify right side
    30,002.78x = 685,475,638.88
  5. Step 5: Solve for x
    x = 685,475,638.88/30,002.78
  6. Step 6: Final answer
    x = 22,847.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.