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Finding the Fourth Proportional to 31,166.55, 46,749.83 and 7,792.99

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Solution

The fourth proportional to 31,166.55, 46,749.83 and 7,792.99 is: 11,689.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,166.55 : 46,749.83 = 7,792.99 : x
  2. Step 2: Convert to fraction form
    31,166.55/46,749.83 = 7,792.99/x
  3. Step 3: Cross multiply
    31,166.55x = 46,749.83 × 7,792.99
  4. Step 4: Simplify right side
    31,166.55x = 364,320,957.69
  5. Step 5: Solve for x
    x = 364,320,957.69/31,166.55
  6. Step 6: Final answer
    x = 11,689.49

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Similar ratio
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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.