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Finding the Fourth Proportional to 97,181.52, 145,786.80 and 30,614.64

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Solution

The fourth proportional to 97,181.52, 145,786.80 and 30,614.64 is: 45,926.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,181.52 : 145,786.80 = 30,614.64 : x
  2. Step 2: Convert to fraction form
    97,181.52/145,786.80 = 30,614.64/x
  3. Step 3: Cross multiply
    97,181.52x = 145,786.80 × 30,614.64
  4. Step 4: Simplify right side
    97,181.52x = 4,463,210,398.75
  5. Step 5: Solve for x
    x = 4,463,210,398.75/97,181.52
  6. Step 6: Final answer
    x = 45,926.53

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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.