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Finding the Fourth Proportional to 32,983.80, 49,475.70 and 15,455.40

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Solution

The fourth proportional to 32,983.80, 49,475.70 and 15,455.40 is: 23,183.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983.80 : 49,475.70 = 15,455.40 : x
  2. Step 2: Convert to fraction form
    32,983.80/49,475.70 = 15,455.40/x
  3. Step 3: Cross multiply
    32,983.80x = 49,475.70 × 15,455.40
  4. Step 4: Simplify right side
    32,983.80x = 764,666,733.78
  5. Step 5: Solve for x
    x = 764,666,733.78/32,983.80
  6. Step 6: Final answer
    x = 23,183.10

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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.