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Finding the Fourth Proportional to 35,634.74, 49,169.23 and 24,154.20

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Solution

The fourth proportional to 35,634.74, 49,169.23 and 24,154.20 is: 33,328.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,634.74 : 49,169.23 = 24,154.20 : x
  2. Step 2: Convert to fraction form
    35,634.74/49,169.23 = 24,154.20/x
  3. Step 3: Cross multiply
    35,634.74x = 49,169.23 × 24,154.20
  4. Step 4: Simplify right side
    35,634.74x = 1,187,643,354.88
  5. Step 5: Solve for x
    x = 1,187,643,354.88/35,634.74
  6. Step 6: Final answer
    x = 33,328.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.