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Finding the Fourth Proportional to 30,020.70, 45,031.96 and 10,298.97

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Solution

The fourth proportional to 30,020.70, 45,031.96 and 10,298.97 is: 15,448.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,020.70 : 45,031.96 = 10,298.97 : x
  2. Step 2: Convert to fraction form
    30,020.70/45,031.96 = 10,298.97/x
  3. Step 3: Cross multiply
    30,020.70x = 45,031.96 × 10,298.97
  4. Step 4: Simplify right side
    30,020.70x = 463,782,805.08
  5. Step 5: Solve for x
    x = 463,782,805.08/30,020.70
  6. Step 6: Final answer
    x = 15,448.77

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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.