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Finding the Fourth Proportional to 31,546.59, 47,221.47 and 23,235.99

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Solution

The fourth proportional to 31,546.59, 47,221.47 and 23,235.99 is: 34,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,546.59 : 47,221.47 = 23,235.99 : x
  2. Step 2: Convert to fraction form
    31,546.59/47,221.47 = 23,235.99/x
  3. Step 3: Cross multiply
    31,546.59x = 47,221.47 × 23,235.99
  4. Step 4: Simplify right side
    31,546.59x = 1,097,237,604.71
  5. Step 5: Solve for x
    x = 1,097,237,604.71/31,546.59
  6. Step 6: Final answer
    x = 34,781.50

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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.