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Finding the Fourth Proportional to 105,692.40, 158,562.36 and 35,569.68

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Solution

The fourth proportional to 105,692.40, 158,562.36 and 35,569.68 is: 53,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,692.40 : 158,562.36 = 35,569.68 : x
  2. Step 2: Convert to fraction form
    105,692.40/158,562.36 = 35,569.68/x
  3. Step 3: Cross multiply
    105,692.40x = 158,562.36 × 35,569.68
  4. Step 4: Simplify right side
    105,692.40x = 5,640,012,405.24
  5. Step 5: Solve for x
    x = 5,640,012,405.24/105,692.40
  6. Step 6: Final answer
    x = 53,362.52

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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.