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Finding the Fourth Proportional to 31,104.60, 46,656.90 and 23,231.40

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Solution

The fourth proportional to 31,104.60, 46,656.90 and 23,231.40 is: 34,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.60 : 46,656.90 = 23,231.40 : x
  2. Step 2: Convert to fraction form
    31,104.60/46,656.90 = 23,231.40/x
  3. Step 3: Cross multiply
    31,104.60x = 46,656.90 × 23,231.40
  4. Step 4: Simplify right side
    31,104.60x = 1,083,905,106.66
  5. Step 5: Solve for x
    x = 1,083,905,106.66/31,104.60
  6. Step 6: Final answer
    x = 34,847.10

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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.