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Finding the Fourth Proportional to 40,694.50, 61,319.04 and 33,461

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Solution

The fourth proportional to 40,694.50, 61,319.04 and 33,461 is: 50,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,694.50 : 61,319.04 = 33,461 : x
  2. Step 2: Convert to fraction form
    40,694.50/61,319.04 = 33,461/x
  3. Step 3: Cross multiply
    40,694.50x = 61,319.04 × 33,461
  4. Step 4: Simplify right side
    40,694.50x = 2,051,796,397.44
  5. Step 5: Solve for x
    x = 2,051,796,397.44/40,694.50
  6. Step 6: Final answer
    x = 50,419.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.