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Finding the Fourth Proportional to 115,125, 172,697.22 and 32,019

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Solution

The fourth proportional to 115,125, 172,697.22 and 32,019 is: 48,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,125 : 172,697.22 = 32,019 : x
  2. Step 2: Convert to fraction form
    115,125/172,697.22 = 32,019/x
  3. Step 3: Cross multiply
    115,125x = 172,697.22 × 32,019
  4. Step 4: Simplify right side
    115,125x = 5,529,592,287.18
  5. Step 5: Solve for x
    x = 5,529,592,287.18/115,125
  6. Step 6: Final answer
    x = 48,031.20

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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.