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Finding the Fourth Proportional to 35,468, 53,131.08 and 22,944.80

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Solution

The fourth proportional to 35,468, 53,131.08 and 22,944.80 is: 34,371.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,468 : 53,131.08 = 22,944.80 : x
  2. Step 2: Convert to fraction form
    35,468/53,131.08 = 22,944.80/x
  3. Step 3: Cross multiply
    35,468x = 53,131.08 × 22,944.80
  4. Step 4: Simplify right side
    35,468x = 1,219,082,004.38
  5. Step 5: Solve for x
    x = 1,219,082,004.38/35,468
  6. Step 6: Final answer
    x = 34,371.32

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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.