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Finding the Fourth Proportional to 35,670.16, 49,233 and 23,734

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Solution

The fourth proportional to 35,670.16, 49,233 and 23,734 is: 32,758.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,670.16 : 49,233 = 23,734 : x
  2. Step 2: Convert to fraction form
    35,670.16/49,233 = 23,734/x
  3. Step 3: Cross multiply
    35,670.16x = 49,233 × 23,734
  4. Step 4: Simplify right side
    35,670.16x = 1,168,496,022
  5. Step 5: Solve for x
    x = 1,168,496,022/35,670.16
  6. Step 6: Final answer
    x = 32,758.36

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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.