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Finding the Fourth Proportional to 32,896.71, 49,353.28 and 9,523.15

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Solution

The fourth proportional to 32,896.71, 49,353.28 and 9,523.15 is: 14,287.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.71 : 49,353.28 = 9,523.15 : x
  2. Step 2: Convert to fraction form
    32,896.71/49,353.28 = 9,523.15/x
  3. Step 3: Cross multiply
    32,896.71x = 49,353.28 × 9,523.15
  4. Step 4: Simplify right side
    32,896.71x = 469,998,688.43
  5. Step 5: Solve for x
    x = 469,998,688.43/32,896.71
  6. Step 6: Final answer
    x = 14,287.10

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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.