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Finding the Fourth Proportional to 106,695.66, 160,017.33 and 50,533.74

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Solution

The fourth proportional to 106,695.66, 160,017.33 and 50,533.74 is: 75,788.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,695.66 : 160,017.33 = 50,533.74 : x
  2. Step 2: Convert to fraction form
    106,695.66/160,017.33 = 50,533.74/x
  3. Step 3: Cross multiply
    106,695.66x = 160,017.33 × 50,533.74
  4. Step 4: Simplify right side
    106,695.66x = 8,086,274,149.71
  5. Step 5: Solve for x
    x = 8,086,274,149.71/106,695.66
  6. Step 6: Final answer
    x = 75,788.22

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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.