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Finding the Fourth Proportional to 32,807.30, 49,218.74 and 10,620.68

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Solution

The fourth proportional to 32,807.30, 49,218.74 and 10,620.68 is: 15,933.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,807.30 : 49,218.74 = 10,620.68 : x
  2. Step 2: Convert to fraction form
    32,807.30/49,218.74 = 10,620.68/x
  3. Step 3: Cross multiply
    32,807.30x = 49,218.74 × 10,620.68
  4. Step 4: Simplify right side
    32,807.30x = 522,736,487.54
  5. Step 5: Solve for x
    x = 522,736,487.54/32,807.30
  6. Step 6: Final answer
    x = 15,933.54

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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.