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Finding the Fourth Proportional to 31,211.57, 46,795.49 and 11,487.57

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Solution

The fourth proportional to 31,211.57, 46,795.49 and 11,487.57 is: 17,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211.57 : 46,795.49 = 11,487.57 : x
  2. Step 2: Convert to fraction form
    31,211.57/46,795.49 = 11,487.57/x
  3. Step 3: Cross multiply
    31,211.57x = 46,795.49 × 11,487.57
  4. Step 4: Simplify right side
    31,211.57x = 537,566,409.62
  5. Step 5: Solve for x
    x = 537,566,409.62/31,211.57
  6. Step 6: Final answer
    x = 17,223.30

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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.