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Finding the Fourth Proportional to 31,598.53, 47,361.34 and 11,864.50

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Solution

The fourth proportional to 31,598.53, 47,361.34 and 11,864.50 is: 17,783.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,598.53 : 47,361.34 = 11,864.50 : x
  2. Step 2: Convert to fraction form
    31,598.53/47,361.34 = 11,864.50/x
  3. Step 3: Cross multiply
    31,598.53x = 47,361.34 × 11,864.50
  4. Step 4: Simplify right side
    31,598.53x = 561,918,618.43
  5. Step 5: Solve for x
    x = 561,918,618.43/31,598.53
  6. Step 6: Final answer
    x = 17,783.06

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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.