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Finding the Fourth Proportional to 31,790.80, 47,801.40 and 31,099.60

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Solution

The fourth proportional to 31,790.80, 47,801.40 and 31,099.60 is: 46,762.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,790.80 : 47,801.40 = 31,099.60 : x
  2. Step 2: Convert to fraction form
    31,790.80/47,801.40 = 31,099.60/x
  3. Step 3: Cross multiply
    31,790.80x = 47,801.40 × 31,099.60
  4. Step 4: Simplify right side
    31,790.80x = 1,486,604,419.44
  5. Step 5: Solve for x
    x = 1,486,604,419.44/31,790.80
  6. Step 6: Final answer
    x = 46,762.10

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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.