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Finding the Fourth Proportional to 30,206.42, 45,306.10 and 8,021.52

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Solution

The fourth proportional to 30,206.42, 45,306.10 and 8,021.52 is: 12,031.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206.42 : 45,306.10 = 8,021.52 : x
  2. Step 2: Convert to fraction form
    30,206.42/45,306.10 = 8,021.52/x
  3. Step 3: Cross multiply
    30,206.42x = 45,306.10 × 8,021.52
  4. Step 4: Simplify right side
    30,206.42x = 363,423,787.27
  5. Step 5: Solve for x
    x = 363,423,787.27/30,206.42
  6. Step 6: Final answer
    x = 12,031.34

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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.