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Finding the Fourth Proportional to 31,203.60, 46,805.60 and 12,485.20

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Solution

The fourth proportional to 31,203.60, 46,805.60 and 12,485.20 is: 18,727.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,203.60 : 46,805.60 = 12,485.20 : x
  2. Step 2: Convert to fraction form
    31,203.60/46,805.60 = 12,485.20/x
  3. Step 3: Cross multiply
    31,203.60x = 46,805.60 × 12,485.20
  4. Step 4: Simplify right side
    31,203.60x = 584,377,277.12
  5. Step 5: Solve for x
    x = 584,377,277.12/31,203.60
  6. Step 6: Final answer
    x = 18,727.88

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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.