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Finding the Fourth Proportional to 33,090.57, 49,644 and 16,458.48

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Solution

The fourth proportional to 33,090.57, 49,644 and 16,458.48 is: 24,691.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,090.57 : 49,644 = 16,458.48 : x
  2. Step 2: Convert to fraction form
    33,090.57/49,644 = 16,458.48/x
  3. Step 3: Cross multiply
    33,090.57x = 49,644 × 16,458.48
  4. Step 4: Simplify right side
    33,090.57x = 817,064,781.12
  5. Step 5: Solve for x
    x = 817,064,781.12/33,090.57
  6. Step 6: Final answer
    x = 24,691.77

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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.