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Finding the Fourth Proportional to 66,784.50, 92,162.61 and 36,976.50

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Solution

The fourth proportional to 66,784.50, 92,162.61 and 36,976.50 is: 51,027.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,784.50 : 92,162.61 = 36,976.50 : x
  2. Step 2: Convert to fraction form
    66,784.50/92,162.61 = 36,976.50/x
  3. Step 3: Cross multiply
    66,784.50x = 92,162.61 × 36,976.50
  4. Step 4: Simplify right side
    66,784.50x = 3,407,850,748.67
  5. Step 5: Solve for x
    x = 3,407,850,748.67/66,784.50
  6. Step 6: Final answer
    x = 51,027.57

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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.