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Finding the Fourth Proportional to 97,478.16, 146,234.88 and 30,008.88

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Solution

The fourth proportional to 97,478.16, 146,234.88 and 30,008.88 is: 45,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,478.16 : 146,234.88 = 30,008.88 : x
  2. Step 2: Convert to fraction form
    97,478.16/146,234.88 = 30,008.88/x
  3. Step 3: Cross multiply
    97,478.16x = 146,234.88 × 30,008.88
  4. Step 4: Simplify right side
    97,478.16x = 4,388,344,965.73
  5. Step 5: Solve for x
    x = 4,388,344,965.73/97,478.16
  6. Step 6: Final answer
    x = 45,018.75

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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.