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Finding the Fourth Proportional to 106,840.32, 160,216.74 and 47,635.50

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Solution

The fourth proportional to 106,840.32, 160,216.74 and 47,635.50 is: 71,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,840.32 : 160,216.74 = 47,635.50 : x
  2. Step 2: Convert to fraction form
    106,840.32/160,216.74 = 47,635.50/x
  3. Step 3: Cross multiply
    106,840.32x = 160,216.74 × 47,635.50
  4. Step 4: Simplify right side
    106,840.32x = 7,632,004,518.27
  5. Step 5: Solve for x
    x = 7,632,004,518.27/106,840.32
  6. Step 6: Final answer
    x = 71,433.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.