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Finding the Fourth Proportional to 32,997.76, 49,496.64 and 9,624.20

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Solution

The fourth proportional to 32,997.76, 49,496.64 and 9,624.20 is: 14,436.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,997.76 : 49,496.64 = 9,624.20 : x
  2. Step 2: Convert to fraction form
    32,997.76/49,496.64 = 9,624.20/x
  3. Step 3: Cross multiply
    32,997.76x = 49,496.64 × 9,624.20
  4. Step 4: Simplify right side
    32,997.76x = 476,365,562.69
  5. Step 5: Solve for x
    x = 476,365,562.69/32,997.76
  6. Step 6: Final answer
    x = 14,436.30

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1.5x scale

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.