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Finding the Fourth Proportional to 53,180.40, 79,745.22 and 31,000.17

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Solution

The fourth proportional to 53,180.40, 79,745.22 and 31,000.17 is: 46,485.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,180.40 : 79,745.22 = 31,000.17 : x
  2. Step 2: Convert to fraction form
    53,180.40/79,745.22 = 31,000.17/x
  3. Step 3: Cross multiply
    53,180.40x = 79,745.22 × 31,000.17
  4. Step 4: Simplify right side
    53,180.40x = 2,472,115,376.69
  5. Step 5: Solve for x
    x = 2,472,115,376.69/53,180.40
  6. Step 6: Final answer
    x = 46,485.46

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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.