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Finding the Fourth Proportional to 73,792, 101,832.96 and 43,984

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Solution

The fourth proportional to 73,792, 101,832.96 and 43,984 is: 60,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,792 : 101,832.96 = 43,984 : x
  2. Step 2: Convert to fraction form
    73,792/101,832.96 = 43,984/x
  3. Step 3: Cross multiply
    73,792x = 101,832.96 × 43,984
  4. Step 4: Simplify right side
    73,792x = 4,479,020,912.64
  5. Step 5: Solve for x
    x = 4,479,020,912.64/73,792
  6. Step 6: Final answer
    x = 60,697.92

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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.