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Finding the Fourth Proportional to 99,108.21, 148,661.01 and 24,229

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Solution

The fourth proportional to 99,108.21, 148,661.01 and 24,229 is: 36,343.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,108.21 : 148,661.01 = 24,229 : x
  2. Step 2: Convert to fraction form
    99,108.21/148,661.01 = 24,229/x
  3. Step 3: Cross multiply
    99,108.21x = 148,661.01 × 24,229
  4. Step 4: Simplify right side
    99,108.21x = 3,601,907,611.29
  5. Step 5: Solve for x
    x = 3,601,907,611.29/99,108.21
  6. Step 6: Final answer
    x = 36,343.18

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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.