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Finding the Fourth Proportional to 49,500, 74,064 and 34,737.72

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Solution

The fourth proportional to 49,500, 74,064 and 34,737.72 is: 51,976.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,500 : 74,064 = 34,737.72 : x
  2. Step 2: Convert to fraction form
    49,500/74,064 = 34,737.72/x
  3. Step 3: Cross multiply
    49,500x = 74,064 × 34,737.72
  4. Step 4: Simplify right side
    49,500x = 2,572,814,494.08
  5. Step 5: Solve for x
    x = 2,572,814,494.08/49,500
  6. Step 6: Final answer
    x = 51,976.05

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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.