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Finding the Fourth Proportional to 32,953, 49,424.26 and 10,766.20

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Solution

The fourth proportional to 32,953, 49,424.26 and 10,766.20 is: 16,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,953 : 49,424.26 = 10,766.20 : x
  2. Step 2: Convert to fraction form
    32,953/49,424.26 = 10,766.20/x
  3. Step 3: Cross multiply
    32,953x = 49,424.26 × 10,766.20
  4. Step 4: Simplify right side
    32,953x = 532,111,468.01
  5. Step 5: Solve for x
    x = 532,111,468.01/32,953
  6. Step 6: Final answer
    x = 16,147.59

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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.