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Finding the Fourth Proportional to 32,700.62, 49,053.64 and 10,208.54

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Solution

The fourth proportional to 32,700.62, 49,053.64 and 10,208.54 is: 15,313.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,700.62 : 49,053.64 = 10,208.54 : x
  2. Step 2: Convert to fraction form
    32,700.62/49,053.64 = 10,208.54/x
  3. Step 3: Cross multiply
    32,700.62x = 49,053.64 × 10,208.54
  4. Step 4: Simplify right side
    32,700.62x = 500,766,046.09
  5. Step 5: Solve for x
    x = 500,766,046.09/32,700.62
  6. Step 6: Final answer
    x = 15,313.66

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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.