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Finding the Fourth Proportional to 31,221.88, 46,857.42 and 13,703.80

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Solution

The fourth proportional to 31,221.88, 46,857.42 and 13,703.80 is: 20,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,221.88 : 46,857.42 = 13,703.80 : x
  2. Step 2: Convert to fraction form
    31,221.88/46,857.42 = 13,703.80/x
  3. Step 3: Cross multiply
    31,221.88x = 46,857.42 × 13,703.80
  4. Step 4: Simplify right side
    31,221.88x = 642,124,712.20
  5. Step 5: Solve for x
    x = 642,124,712.20/31,221.88
  6. Step 6: Final answer
    x = 20,566.50

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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.