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Finding the Fourth Proportional to 97,467.30, 146,200.95 and 44,979.30

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Solution

The fourth proportional to 97,467.30, 146,200.95 and 44,979.30 is: 67,468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,467.30 : 146,200.95 = 44,979.30 : x
  2. Step 2: Convert to fraction form
    97,467.30/146,200.95 = 44,979.30/x
  3. Step 3: Cross multiply
    97,467.30x = 146,200.95 × 44,979.30
  4. Step 4: Simplify right side
    97,467.30x = 6,576,016,390.34
  5. Step 5: Solve for x
    x = 6,576,016,390.34/97,467.30
  6. Step 6: Final answer
    x = 67,468.95

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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.