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Finding the Fourth Proportional to 61,176, 84,436.80 and 36,033.60

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Solution

The fourth proportional to 61,176, 84,436.80 and 36,033.60 is: 49,734.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,176 : 84,436.80 = 36,033.60 : x
  2. Step 2: Convert to fraction form
    61,176/84,436.80 = 36,033.60/x
  3. Step 3: Cross multiply
    61,176x = 84,436.80 × 36,033.60
  4. Step 4: Simplify right side
    61,176x = 3,042,561,876.48
  5. Step 5: Solve for x
    x = 3,042,561,876.48/61,176
  6. Step 6: Final answer
    x = 49,734.57

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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.