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Finding the Fourth Proportional to 31,107.60, 46,661.40 and 17,766.90

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Solution

The fourth proportional to 31,107.60, 46,661.40 and 17,766.90 is: 26,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,107.60 : 46,661.40 = 17,766.90 : x
  2. Step 2: Convert to fraction form
    31,107.60/46,661.40 = 17,766.90/x
  3. Step 3: Cross multiply
    31,107.60x = 46,661.40 × 17,766.90
  4. Step 4: Simplify right side
    31,107.60x = 829,028,427.66
  5. Step 5: Solve for x
    x = 829,028,427.66/31,107.60
  6. Step 6: Final answer
    x = 26,650.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.