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Finding the Fourth Proportional to 30,859.64, 42,574.56 and 22,812.61

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Solution

The fourth proportional to 30,859.64, 42,574.56 and 22,812.61 is: 31,472.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859.64 : 42,574.56 = 22,812.61 : x
  2. Step 2: Convert to fraction form
    30,859.64/42,574.56 = 22,812.61/x
  3. Step 3: Cross multiply
    30,859.64x = 42,574.56 × 22,812.61
  4. Step 4: Simplify right side
    30,859.64x = 971,237,023.28
  5. Step 5: Solve for x
    x = 971,237,023.28/30,859.64
  6. Step 6: Final answer
    x = 31,472.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.