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Finding the Fourth Proportional to 30,016.71, 45,012.24 and 10,297.26

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Solution

The fourth proportional to 30,016.71, 45,012.24 and 10,297.26 is: 15,441.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,016.71 : 45,012.24 = 10,297.26 : x
  2. Step 2: Convert to fraction form
    30,016.71/45,012.24 = 10,297.26/x
  3. Step 3: Cross multiply
    30,016.71x = 45,012.24 × 10,297.26
  4. Step 4: Simplify right side
    30,016.71x = 463,502,738.46
  5. Step 5: Solve for x
    x = 463,502,738.46/30,016.71
  6. Step 6: Final answer
    x = 15,441.49

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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.