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Finding the Fourth Proportional to 31,063.96, 46,591.26 and 11,342.62

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Solution

The fourth proportional to 31,063.96, 46,591.26 and 11,342.62 is: 17,012.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,063.96 : 46,591.26 = 11,342.62 : x
  2. Step 2: Convert to fraction form
    31,063.96/46,591.26 = 11,342.62/x
  3. Step 3: Cross multiply
    31,063.96x = 46,591.26 × 11,342.62
  4. Step 4: Simplify right side
    31,063.96x = 528,466,957.50
  5. Step 5: Solve for x
    x = 528,466,957.50/31,063.96
  6. Step 6: Final answer
    x = 17,012.22

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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.