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Finding the Fourth Proportional to 60,398.16, 90,576.74 and 22,949.24

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Solution

The fourth proportional to 60,398.16, 90,576.74 and 22,949.24 is: 34,416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,398.16 : 90,576.74 = 22,949.24 : x
  2. Step 2: Convert to fraction form
    60,398.16/90,576.74 = 22,949.24/x
  3. Step 3: Cross multiply
    60,398.16x = 90,576.74 × 22,949.24
  4. Step 4: Simplify right side
    60,398.16x = 2,078,666,777.05
  5. Step 5: Solve for x
    x = 2,078,666,777.05/60,398.16
  6. Step 6: Final answer
    x = 34,416.06

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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.