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Finding the Fourth Proportional to 38,120.78, 52,610.34 and 21,128.70

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Solution

The fourth proportional to 38,120.78, 52,610.34 and 21,128.70 is: 29,159.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,120.78 : 52,610.34 = 21,128.70 : x
  2. Step 2: Convert to fraction form
    38,120.78/52,610.34 = 21,128.70/x
  3. Step 3: Cross multiply
    38,120.78x = 52,610.34 × 21,128.70
  4. Step 4: Simplify right side
    38,120.78x = 1,111,587,893.07
  5. Step 5: Solve for x
    x = 1,111,587,893.07/38,120.78
  6. Step 6: Final answer
    x = 29,159.63

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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.