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Finding the Fourth Proportional to 31,522.84, 47,304.74 and 11,801.23

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Solution

The fourth proportional to 31,522.84, 47,304.74 and 11,801.23 is: 17,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,522.84 : 47,304.74 = 11,801.23 : x
  2. Step 2: Convert to fraction form
    31,522.84/47,304.74 = 11,801.23/x
  3. Step 3: Cross multiply
    31,522.84x = 47,304.74 × 11,801.23
  4. Step 4: Simplify right side
    31,522.84x = 558,254,028.07
  5. Step 5: Solve for x
    x = 558,254,028.07/31,522.84
  6. Step 6: Final answer
    x = 17,709.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.