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Finding the Fourth Proportional to 31,064.40, 46,645.20 and 23,677.20

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Solution

The fourth proportional to 31,064.40, 46,645.20 and 23,677.20 is: 35,552.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.40 : 46,645.20 = 23,677.20 : x
  2. Step 2: Convert to fraction form
    31,064.40/46,645.20 = 23,677.20/x
  3. Step 3: Cross multiply
    31,064.40x = 46,645.20 × 23,677.20
  4. Step 4: Simplify right side
    31,064.40x = 1,104,427,729.44
  5. Step 5: Solve for x
    x = 1,104,427,729.44/31,064.40
  6. Step 6: Final answer
    x = 35,552.84

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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.