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Finding the Fourth Proportional to 34,625.76, 47,766.87 and 22,683.84

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Solution

The fourth proportional to 34,625.76, 47,766.87 and 22,683.84 is: 31,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,625.76 : 47,766.87 = 22,683.84 : x
  2. Step 2: Convert to fraction form
    34,625.76/47,766.87 = 22,683.84/x
  3. Step 3: Cross multiply
    34,625.76x = 47,766.87 × 22,683.84
  4. Step 4: Simplify right side
    34,625.76x = 1,083,536,036.38
  5. Step 5: Solve for x
    x = 1,083,536,036.38/34,625.76
  6. Step 6: Final answer
    x = 31,292.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.