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Finding the Fourth Proportional to 100,506.51, 150,781.64 and 30,384

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Solution

The fourth proportional to 100,506.51, 150,781.64 and 30,384 is: 45,582.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,506.51 : 150,781.64 = 30,384 : x
  2. Step 2: Convert to fraction form
    100,506.51/150,781.64 = 30,384/x
  3. Step 3: Cross multiply
    100,506.51x = 150,781.64 × 30,384
  4. Step 4: Simplify right side
    100,506.51x = 4,581,349,197.84
  5. Step 5: Solve for x
    x = 4,581,349,197.84/100,506.51
  6. Step 6: Final answer
    x = 45,582.61

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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.