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Finding the Fourth Proportional to 39,849.68, 55,014.64 and 23,938

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Solution

The fourth proportional to 39,849.68, 55,014.64 and 23,938 is: 33,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,849.68 : 55,014.64 = 23,938 : x
  2. Step 2: Convert to fraction form
    39,849.68/55,014.64 = 23,938/x
  3. Step 3: Cross multiply
    39,849.68x = 55,014.64 × 23,938
  4. Step 4: Simplify right side
    39,849.68x = 1,316,940,452.32
  5. Step 5: Solve for x
    x = 1,316,940,452.32/39,849.68
  6. Step 6: Final answer
    x = 33,047.70

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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.