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Finding the Fourth Proportional to 38,564.15, 53,218.15 and 21,568.20

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Solution

The fourth proportional to 38,564.15, 53,218.15 and 21,568.20 is: 29,763.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,564.15 : 53,218.15 = 21,568.20 : x
  2. Step 2: Convert to fraction form
    38,564.15/53,218.15 = 21,568.20/x
  3. Step 3: Cross multiply
    38,564.15x = 53,218.15 × 21,568.20
  4. Step 4: Simplify right side
    38,564.15x = 1,147,819,702.83
  5. Step 5: Solve for x
    x = 1,147,819,702.83/38,564.15
  6. Step 6: Final answer
    x = 29,763.91

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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.