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Finding the Fourth Proportional to 85,314.71, 117,733.50 and 47,074.61

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Solution

The fourth proportional to 85,314.71, 117,733.50 and 47,074.61 is: 64,962.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,314.71 : 117,733.50 = 47,074.61 : x
  2. Step 2: Convert to fraction form
    85,314.71/117,733.50 = 47,074.61/x
  3. Step 3: Cross multiply
    85,314.71x = 117,733.50 × 47,074.61
  4. Step 4: Simplify right side
    85,314.71x = 5,542,258,596.44
  5. Step 5: Solve for x
    x = 5,542,258,596.44/85,314.71
  6. Step 6: Final answer
    x = 64,962.52

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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.