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Finding the Fourth Proportional to 100,534.48, 150,800.68 and 25,653.82

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Solution

The fourth proportional to 100,534.48, 150,800.68 and 25,653.82 is: 38,480.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,534.48 : 150,800.68 = 25,653.82 : x
  2. Step 2: Convert to fraction form
    100,534.48/150,800.68 = 25,653.82/x
  3. Step 3: Cross multiply
    100,534.48x = 150,800.68 × 25,653.82
  4. Step 4: Simplify right side
    100,534.48x = 3,868,613,500.60
  5. Step 5: Solve for x
    x = 3,868,613,500.60/100,534.48
  6. Step 6: Final answer
    x = 38,480.46

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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.