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Finding the Fourth Proportional to 31,862.96, 47,794.50 and 13,153.64

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Solution

The fourth proportional to 31,862.96, 47,794.50 and 13,153.64 is: 19,730.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,862.96 : 47,794.50 = 13,153.64 : x
  2. Step 2: Convert to fraction form
    31,862.96/47,794.50 = 13,153.64/x
  3. Step 3: Cross multiply
    31,862.96x = 47,794.50 × 13,153.64
  4. Step 4: Simplify right side
    31,862.96x = 628,671,646.98
  5. Step 5: Solve for x
    x = 628,671,646.98/31,862.96
  6. Step 6: Final answer
    x = 19,730.48

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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.