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Finding the Fourth Proportional to 24,053.50, 36,080.16 and 6,523.30

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Solution

The fourth proportional to 24,053.50, 36,080.16 and 6,523.30 is: 9,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,053.50 : 36,080.16 = 6,523.30 : x
  2. Step 2: Convert to fraction form
    24,053.50/36,080.16 = 6,523.30/x
  3. Step 3: Cross multiply
    24,053.50x = 36,080.16 × 6,523.30
  4. Step 4: Simplify right side
    24,053.50x = 235,361,707.73
  5. Step 5: Solve for x
    x = 235,361,707.73/24,053.50
  6. Step 6: Final answer
    x = 9,784.93

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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.