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Finding the Fourth Proportional to 65,410.38, 98,130.19 and 23,857.38

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Solution

The fourth proportional to 65,410.38, 98,130.19 and 23,857.38 is: 35,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,410.38 : 98,130.19 = 23,857.38 : x
  2. Step 2: Convert to fraction form
    65,410.38/98,130.19 = 23,857.38/x
  3. Step 3: Cross multiply
    65,410.38x = 98,130.19 × 23,857.38
  4. Step 4: Simplify right side
    65,410.38x = 2,341,129,232.30
  5. Step 5: Solve for x
    x = 2,341,129,232.30/65,410.38
  6. Step 6: Final answer
    x = 35,791.40

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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.