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Finding the Fourth Proportional to 31,170.91, 46,721.74 and 23,750.91

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Solution

The fourth proportional to 31,170.91, 46,721.74 and 23,750.91 is: 35,599.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,170.91 : 46,721.74 = 23,750.91 : x
  2. Step 2: Convert to fraction form
    31,170.91/46,721.74 = 23,750.91/x
  3. Step 3: Cross multiply
    31,170.91x = 46,721.74 × 23,750.91
  4. Step 4: Simplify right side
    31,170.91x = 1,109,683,841.78
  5. Step 5: Solve for x
    x = 1,109,683,841.78/31,170.91
  6. Step 6: Final answer
    x = 35,599.98

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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.