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Finding the Fourth Proportional to 97,468.14, 146,207.43 and 30,913.32

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Solution

The fourth proportional to 97,468.14, 146,207.43 and 30,913.32 is: 46,371.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,468.14 : 146,207.43 = 30,913.32 : x
  2. Step 2: Convert to fraction form
    97,468.14/146,207.43 = 30,913.32/x
  3. Step 3: Cross multiply
    97,468.14x = 146,207.43 × 30,913.32
  4. Step 4: Simplify right side
    97,468.14x = 4,519,757,069.97
  5. Step 5: Solve for x
    x = 4,519,757,069.97/97,468.14
  6. Step 6: Final answer
    x = 46,371.64

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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.