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Finding the Fourth Proportional to 61,391.94, 92,012.13 and 31,792.74

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Solution

The fourth proportional to 61,391.94, 92,012.13 and 31,792.74 is: 47,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,391.94 : 92,012.13 = 31,792.74 : x
  2. Step 2: Convert to fraction form
    61,391.94/92,012.13 = 31,792.74/x
  3. Step 3: Cross multiply
    61,391.94x = 92,012.13 × 31,792.74
  4. Step 4: Simplify right side
    61,391.94x = 2,925,317,725.94
  5. Step 5: Solve for x
    x = 2,925,317,725.94/61,391.94
  6. Step 6: Final answer
    x = 47,649.87

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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.