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Finding the Fourth Proportional to 30,207.48, 45,313.62 and 8,020.28

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Solution

The fourth proportional to 30,207.48, 45,313.62 and 8,020.28 is: 12,031.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,207.48 : 45,313.62 = 8,020.28 : x
  2. Step 2: Convert to fraction form
    30,207.48/45,313.62 = 8,020.28/x
  3. Step 3: Cross multiply
    30,207.48x = 45,313.62 × 8,020.28
  4. Step 4: Simplify right side
    30,207.48x = 363,427,920.21
  5. Step 5: Solve for x
    x = 363,427,920.21/30,207.48
  6. Step 6: Final answer
    x = 12,031.06

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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.