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Finding the Fourth Proportional to 100,266.64, 150,404.47 and 32,802.51

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Solution

The fourth proportional to 100,266.64, 150,404.47 and 32,802.51 is: 49,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,266.64 : 150,404.47 = 32,802.51 : x
  2. Step 2: Convert to fraction form
    100,266.64/150,404.47 = 32,802.51/x
  3. Step 3: Cross multiply
    100,266.64x = 150,404.47 × 32,802.51
  4. Step 4: Simplify right side
    100,266.64x = 4,933,644,613.23
  5. Step 5: Solve for x
    x = 4,933,644,613.23/100,266.64
  6. Step 6: Final answer
    x = 49,205.25

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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.