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Finding the Fourth Proportional to 65,394.86, 98,093.18 and 18,647.72

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Solution

The fourth proportional to 65,394.86, 98,093.18 and 18,647.72 is: 27,971.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,394.86 : 98,093.18 = 18,647.72 : x
  2. Step 2: Convert to fraction form
    65,394.86/98,093.18 = 18,647.72/x
  3. Step 3: Cross multiply
    65,394.86x = 98,093.18 × 18,647.72
  4. Step 4: Simplify right side
    65,394.86x = 1,829,214,154.55
  5. Step 5: Solve for x
    x = 1,829,214,154.55/65,394.86
  6. Step 6: Final answer
    x = 27,971.83

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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.