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Finding the Fourth Proportional to 35,521.80, 53,271.15 and 11,824.30

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Solution

The fourth proportional to 35,521.80, 53,271.15 and 11,824.30 is: 17,732.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,521.80 : 53,271.15 = 11,824.30 : x
  2. Step 2: Convert to fraction form
    35,521.80/53,271.15 = 11,824.30/x
  3. Step 3: Cross multiply
    35,521.80x = 53,271.15 × 11,824.30
  4. Step 4: Simplify right side
    35,521.80x = 629,894,058.95
  5. Step 5: Solve for x
    x = 629,894,058.95/35,521.80
  6. Step 6: Final answer
    x = 17,732.61

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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.