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Finding the Fourth Proportional to 31,104.40, 46,656.60 and 27,216.40

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Solution

The fourth proportional to 31,104.40, 46,656.60 and 27,216.40 is: 40,824.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,104.40 : 46,656.60 = 27,216.40 : x
  2. Step 2: Convert to fraction form
    31,104.40/46,656.60 = 27,216.40/x
  3. Step 3: Cross multiply
    31,104.40x = 46,656.60 × 27,216.40
  4. Step 4: Simplify right side
    31,104.40x = 1,269,824,688.24
  5. Step 5: Solve for x
    x = 1,269,824,688.24/31,104.40
  6. Step 6: Final answer
    x = 40,824.60

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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.