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Finding the Fourth Proportional to 31,361.60, 47,061.92 and 19,538.60

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Solution

The fourth proportional to 31,361.60, 47,061.92 and 19,538.60 is: 29,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,361.60 : 47,061.92 = 19,538.60 : x
  2. Step 2: Convert to fraction form
    31,361.60/47,061.92 = 19,538.60/x
  3. Step 3: Cross multiply
    31,361.60x = 47,061.92 × 19,538.60
  4. Step 4: Simplify right side
    31,361.60x = 919,524,030.11
  5. Step 5: Solve for x
    x = 919,524,030.11/31,361.60
  6. Step 6: Final answer
    x = 29,320.06

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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.