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Finding the Fourth Proportional to 97,468.85, 146,221.49 and 30,891.10

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Solution

The fourth proportional to 97,468.85, 146,221.49 and 30,891.10 is: 46,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,468.85 : 146,221.49 = 30,891.10 : x
  2. Step 2: Convert to fraction form
    97,468.85/146,221.49 = 30,891.10/x
  3. Step 3: Cross multiply
    97,468.85x = 146,221.49 × 30,891.10
  4. Step 4: Simplify right side
    97,468.85x = 4,516,942,669.74
  5. Step 5: Solve for x
    x = 4,516,942,669.74/97,468.85
  6. Step 6: Final answer
    x = 46,342.42

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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.