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Finding the Fourth Proportional to 31,561.35, 47,405.10 and 19,736.16

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Solution

The fourth proportional to 31,561.35, 47,405.10 and 19,736.16 is: 29,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,561.35 : 47,405.10 = 19,736.16 : x
  2. Step 2: Convert to fraction form
    31,561.35/47,405.10 = 19,736.16/x
  3. Step 3: Cross multiply
    31,561.35x = 47,405.10 × 19,736.16
  4. Step 4: Simplify right side
    31,561.35x = 935,594,638.42
  5. Step 5: Solve for x
    x = 935,594,638.42/31,561.35
  6. Step 6: Final answer
    x = 29,643.68

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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.