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Finding the Fourth Proportional to 106,008.57, 158,973.98 and 31,109.49

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Solution

The fourth proportional to 106,008.57, 158,973.98 and 31,109.49 is: 46,652.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,008.57 : 158,973.98 = 31,109.49 : x
  2. Step 2: Convert to fraction form
    106,008.57/158,973.98 = 31,109.49/x
  3. Step 3: Cross multiply
    106,008.57x = 158,973.98 × 31,109.49
  4. Step 4: Simplify right side
    106,008.57x = 4,945,599,285.52
  5. Step 5: Solve for x
    x = 4,945,599,285.52/106,008.57
  6. Step 6: Final answer
    x = 46,652.83

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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.