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Finding the Fourth Proportional to 34,718.96, 47,874.80 and 33,990

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Solution

The fourth proportional to 34,718.96, 47,874.80 and 33,990 is: 46,869.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,718.96 : 47,874.80 = 33,990 : x
  2. Step 2: Convert to fraction form
    34,718.96/47,874.80 = 33,990/x
  3. Step 3: Cross multiply
    34,718.96x = 47,874.80 × 33,990
  4. Step 4: Simplify right side
    34,718.96x = 1,627,264,452
  5. Step 5: Solve for x
    x = 1,627,264,452/34,718.96
  6. Step 6: Final answer
    x = 46,869.62

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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.