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Finding the Fourth Proportional to 100,564.49, 150,866.18 and 38,230.13

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Solution

The fourth proportional to 100,564.49, 150,866.18 and 38,230.13 is: 57,352.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,564.49 : 150,866.18 = 38,230.13 : x
  2. Step 2: Convert to fraction form
    100,564.49/150,866.18 = 38,230.13/x
  3. Step 3: Cross multiply
    100,564.49x = 150,866.18 × 38,230.13
  4. Step 4: Simplify right side
    100,564.49x = 5,767,632,728.52
  5. Step 5: Solve for x
    x = 5,767,632,728.52/100,564.49
  6. Step 6: Final answer
    x = 57,352.58

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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.