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Finding the Fourth Proportional to 38,400.86, 52,996.28 and 21,410.60

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Solution

The fourth proportional to 38,400.86, 52,996.28 and 21,410.60 is: 29,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,400.86 : 52,996.28 = 21,410.60 : x
  2. Step 2: Convert to fraction form
    38,400.86/52,996.28 = 21,410.60/x
  3. Step 3: Cross multiply
    38,400.86x = 52,996.28 × 21,410.60
  4. Step 4: Simplify right side
    38,400.86x = 1,134,682,045.52
  5. Step 5: Solve for x
    x = 1,134,682,045.52/38,400.86
  6. Step 6: Final answer
    x = 29,548.35

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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.