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Finding the Fourth Proportional to 100,448.61, 150,605.33 and 53,013.49

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Solution

The fourth proportional to 100,448.61, 150,605.33 and 53,013.49 is: 79,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,448.61 : 150,605.33 = 53,013.49 : x
  2. Step 2: Convert to fraction form
    100,448.61/150,605.33 = 53,013.49/x
  3. Step 3: Cross multiply
    100,448.61x = 150,605.33 × 53,013.49
  4. Step 4: Simplify right side
    100,448.61x = 7,984,113,514.32
  5. Step 5: Solve for x
    x = 7,984,113,514.32/100,448.61
  6. Step 6: Final answer
    x = 79,484.56

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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.