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Finding the Fourth Proportional to 97,392.93, 146,097.74 and 34,207.56

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Solution

The fourth proportional to 97,392.93, 146,097.74 and 34,207.56 is: 51,314.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,392.93 : 146,097.74 = 34,207.56 : x
  2. Step 2: Convert to fraction form
    97,392.93/146,097.74 = 34,207.56/x
  3. Step 3: Cross multiply
    97,392.93x = 146,097.74 × 34,207.56
  4. Step 4: Simplify right side
    97,392.93x = 4,997,647,035.88
  5. Step 5: Solve for x
    x = 4,997,647,035.88/97,392.93
  6. Step 6: Final answer
    x = 51,314.27

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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.