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Finding the Fourth Proportional to 38,202.22, 52,719.16 and 21,206.72

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Solution

The fourth proportional to 38,202.22, 52,719.16 and 21,206.72 is: 29,265.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202.22 : 52,719.16 = 21,206.72 : x
  2. Step 2: Convert to fraction form
    38,202.22/52,719.16 = 21,206.72/x
  3. Step 3: Cross multiply
    38,202.22x = 52,719.16 × 21,206.72
  4. Step 4: Simplify right side
    38,202.22x = 1,118,000,464.76
  5. Step 5: Solve for x
    x = 1,118,000,464.76/38,202.22
  6. Step 6: Final answer
    x = 29,265.33

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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.