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Finding the Fourth Proportional to 65,892, 98,837.12 and 15,972.53

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Solution

The fourth proportional to 65,892, 98,837.12 and 15,972.53 is: 23,958.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,892 : 98,837.12 = 15,972.53 : x
  2. Step 2: Convert to fraction form
    65,892/98,837.12 = 15,972.53/x
  3. Step 3: Cross multiply
    65,892x = 98,837.12 × 15,972.53
  4. Step 4: Simplify right side
    65,892x = 1,578,678,784.45
  5. Step 5: Solve for x
    x = 1,578,678,784.45/65,892
  6. Step 6: Final answer
    x = 23,958.58

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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.