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Finding the Fourth Proportional to 31,149.60, 46,696.60 and 11,423.55

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Solution

The fourth proportional to 31,149.60, 46,696.60 and 11,423.55 is: 17,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.60 : 46,696.60 = 11,423.55 : x
  2. Step 2: Convert to fraction form
    31,149.60/46,696.60 = 11,423.55/x
  3. Step 3: Cross multiply
    31,149.60x = 46,696.60 × 11,423.55
  4. Step 4: Simplify right side
    31,149.60x = 533,440,944.93
  5. Step 5: Solve for x
    x = 533,440,944.93/31,149.60
  6. Step 6: Final answer
    x = 17,125.13

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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.