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Finding the Fourth Proportional to 38,560.15, 53,212.63 and 21,564.20

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Solution

The fourth proportional to 38,560.15, 53,212.63 and 21,564.20 is: 29,758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,560.15 : 53,212.63 = 21,564.20 : x
  2. Step 2: Convert to fraction form
    38,560.15/53,212.63 = 21,564.20/x
  3. Step 3: Cross multiply
    38,560.15x = 53,212.63 × 21,564.20
  4. Step 4: Simplify right side
    38,560.15x = 1,147,487,795.85
  5. Step 5: Solve for x
    x = 1,147,487,795.85/38,560.15
  6. Step 6: Final answer
    x = 29,758.39

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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.