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Finding the Fourth Proportional to 97,072.74, 145,644.15 and 33,902.16

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Solution

The fourth proportional to 97,072.74, 145,644.15 and 33,902.16 is: 50,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,072.74 : 145,644.15 = 33,902.16 : x
  2. Step 2: Convert to fraction form
    97,072.74/145,644.15 = 33,902.16/x
  3. Step 3: Cross multiply
    97,072.74x = 145,644.15 × 33,902.16
  4. Step 4: Simplify right side
    97,072.74x = 4,937,651,276.36
  5. Step 5: Solve for x
    x = 4,937,651,276.36/97,072.74
  6. Step 6: Final answer
    x = 50,865.48

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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.