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Finding the Fourth Proportional to 31,384.40, 47,076.59 and 9,197.78

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Solution

The fourth proportional to 31,384.40, 47,076.59 and 9,197.78 is: 13,796.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,384.40 : 47,076.59 = 9,197.78 : x
  2. Step 2: Convert to fraction form
    31,384.40/47,076.59 = 9,197.78/x
  3. Step 3: Cross multiply
    31,384.40x = 47,076.59 × 9,197.78
  4. Step 4: Simplify right side
    31,384.40x = 432,999,905.58
  5. Step 5: Solve for x
    x = 432,999,905.58/31,384.40
  6. Step 6: Final answer
    x = 13,796.66

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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.