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Finding the Fourth Proportional to 100,567, 150,869.91 and 38,232.64

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Solution

The fourth proportional to 100,567, 150,869.91 and 38,232.64 is: 57,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,567 : 150,869.91 = 38,232.64 : x
  2. Step 2: Convert to fraction form
    100,567/150,869.91 = 38,232.64/x
  3. Step 3: Cross multiply
    100,567x = 150,869.91 × 38,232.64
  4. Step 4: Simplify right side
    100,567x = 5,768,154,955.86
  5. Step 5: Solve for x
    x = 5,768,154,955.86/100,567
  6. Step 6: Final answer
    x = 57,356.34

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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.