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Finding the Fourth Proportional to 31,848.84, 47,773.37 and 9,662.40

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Solution

The fourth proportional to 31,848.84, 47,773.37 and 9,662.40 is: 14,493.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,848.84 : 47,773.37 = 9,662.40 : x
  2. Step 2: Convert to fraction form
    31,848.84/47,773.37 = 9,662.40/x
  3. Step 3: Cross multiply
    31,848.84x = 47,773.37 × 9,662.40
  4. Step 4: Simplify right side
    31,848.84x = 461,605,361.98
  5. Step 5: Solve for x
    x = 461,605,361.98/31,848.84
  6. Step 6: Final answer
    x = 14,493.63

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Why These Related Problems?

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