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Finding the Fourth Proportional to 38,201.57, 52,712 and 22,066.32

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Solution

The fourth proportional to 38,201.57, 52,712 and 22,066.32 is: 30,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,201.57 : 52,712 = 22,066.32 : x
  2. Step 2: Convert to fraction form
    38,201.57/52,712 = 22,066.32/x
  3. Step 3: Cross multiply
    38,201.57x = 52,712 × 22,066.32
  4. Step 4: Simplify right side
    38,201.57x = 1,163,159,859.84
  5. Step 5: Solve for x
    x = 1,163,159,859.84/38,201.57
  6. Step 6: Final answer
    x = 30,447.96

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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.