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Finding the Fourth Proportional to 31,011.96, 46,517.96 and 13,472.22

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Solution

The fourth proportional to 31,011.96, 46,517.96 and 13,472.22 is: 20,208.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,011.96 : 46,517.96 = 13,472.22 : x
  2. Step 2: Convert to fraction form
    31,011.96/46,517.96 = 13,472.22/x
  3. Step 3: Cross multiply
    31,011.96x = 46,517.96 × 13,472.22
  4. Step 4: Simplify right side
    31,011.96x = 626,700,191.07
  5. Step 5: Solve for x
    x = 626,700,191.07/31,011.96
  6. Step 6: Final answer
    x = 20,208.34

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1.5x scale

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.