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Finding the Fourth Proportional to 32,953, 49,429.74 and 8,329

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Solution

The fourth proportional to 32,953, 49,429.74 and 8,329 is: 12,493.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,953 : 49,429.74 = 8,329 : x
  2. Step 2: Convert to fraction form
    32,953/49,429.74 = 8,329/x
  3. Step 3: Cross multiply
    32,953x = 49,429.74 × 8,329
  4. Step 4: Simplify right side
    32,953x = 411,700,304.46
  5. Step 5: Solve for x
    x = 411,700,304.46/32,953
  6. Step 6: Final answer
    x = 12,493.56

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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.