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Finding the Fourth Proportional to 105,692.58, 158,559.66 and 39,133.32

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Solution

The fourth proportional to 105,692.58, 158,559.66 and 39,133.32 is: 58,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,692.58 : 158,559.66 = 39,133.32 : x
  2. Step 2: Convert to fraction form
    105,692.58/158,559.66 = 39,133.32/x
  3. Step 3: Cross multiply
    105,692.58x = 158,559.66 × 39,133.32
  4. Step 4: Simplify right side
    105,692.58x = 6,204,965,913.87
  5. Step 5: Solve for x
    x = 6,204,965,913.87/105,692.58
  6. Step 6: Final answer
    x = 58,707.68

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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.