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Finding the Fourth Proportional to 31,801.60, 47,646.23 and 19,296.21

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Solution

The fourth proportional to 31,801.60, 47,646.23 and 19,296.21 is: 28,910.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,801.60 : 47,646.23 = 19,296.21 : x
  2. Step 2: Convert to fraction form
    31,801.60/47,646.23 = 19,296.21/x
  3. Step 3: Cross multiply
    31,801.60x = 47,646.23 × 19,296.21
  4. Step 4: Simplify right side
    31,801.60x = 919,391,674.98
  5. Step 5: Solve for x
    x = 919,391,674.98/31,801.60
  6. Step 6: Final answer
    x = 28,910.23

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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.