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Finding the Fourth Proportional to 65,864, 90,894.60 and 36,056

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Solution

The fourth proportional to 65,864, 90,894.60 and 36,056 is: 49,758.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,864 : 90,894.60 = 36,056 : x
  2. Step 2: Convert to fraction form
    65,864/90,894.60 = 36,056/x
  3. Step 3: Cross multiply
    65,864x = 90,894.60 × 36,056
  4. Step 4: Simplify right side
    65,864x = 3,277,295,697.60
  5. Step 5: Solve for x
    x = 3,277,295,697.60/65,864
  6. Step 6: Final answer
    x = 49,758.53

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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.