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Finding the Fourth Proportional to 38,419.16, 52,997.04 and 22,500.56

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Solution

The fourth proportional to 38,419.16, 52,997.04 and 22,500.56 is: 31,038.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.16 : 52,997.04 = 22,500.56 : x
  2. Step 2: Convert to fraction form
    38,419.16/52,997.04 = 22,500.56/x
  3. Step 3: Cross multiply
    38,419.16x = 52,997.04 × 22,500.56
  4. Step 4: Simplify right side
    38,419.16x = 1,192,463,078.34
  5. Step 5: Solve for x
    x = 1,192,463,078.34/38,419.16
  6. Step 6: Final answer
    x = 31,038.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.