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Finding the Fourth Proportional to 106,532.98, 159,870.75 and 44,203.48

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Solution

The fourth proportional to 106,532.98, 159,870.75 and 44,203.48 is: 66,334.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,532.98 : 159,870.75 = 44,203.48 : x
  2. Step 2: Convert to fraction form
    106,532.98/159,870.75 = 44,203.48/x
  3. Step 3: Cross multiply
    106,532.98x = 159,870.75 × 44,203.48
  4. Step 4: Simplify right side
    106,532.98x = 7,066,843,500.21
  5. Step 5: Solve for x
    x = 7,066,843,500.21/106,532.98
  6. Step 6: Final answer
    x = 66,334.80

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Why These Related Problems?

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