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Finding the Fourth Proportional to 32,980.52, 49,475.43 and 10,795.70

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Solution

The fourth proportional to 32,980.52, 49,475.43 and 10,795.70 is: 16,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.52 : 49,475.43 = 10,795.70 : x
  2. Step 2: Convert to fraction form
    32,980.52/49,475.43 = 10,795.70/x
  3. Step 3: Cross multiply
    32,980.52x = 49,475.43 × 10,795.70
  4. Step 4: Simplify right side
    32,980.52x = 534,121,652.27
  5. Step 5: Solve for x
    x = 534,121,652.27/32,980.52
  6. Step 6: Final answer
    x = 16,195.07

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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.