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Finding the Fourth Proportional to 38,452.08, 53,064.08 and 21,458.24

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Solution

The fourth proportional to 38,452.08, 53,064.08 and 21,458.24 is: 29,612.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,452.08 : 53,064.08 = 21,458.24 : x
  2. Step 2: Convert to fraction form
    38,452.08/53,064.08 = 21,458.24/x
  3. Step 3: Cross multiply
    38,452.08x = 53,064.08 × 21,458.24
  4. Step 4: Simplify right side
    38,452.08x = 1,138,661,764.02
  5. Step 5: Solve for x
    x = 1,138,661,764.02/38,452.08
  6. Step 6: Final answer
    x = 29,612.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.