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Finding the Fourth Proportional to 101,586.96, 152,396.64 and 35,043.84

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Solution

The fourth proportional to 101,586.96, 152,396.64 and 35,043.84 is: 52,571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,586.96 : 152,396.64 = 35,043.84 : x
  2. Step 2: Convert to fraction form
    101,586.96/152,396.64 = 35,043.84/x
  3. Step 3: Cross multiply
    101,586.96x = 152,396.64 × 35,043.84
  4. Step 4: Simplify right side
    101,586.96x = 5,340,563,468.70
  5. Step 5: Solve for x
    x = 5,340,563,468.70/101,586.96
  6. Step 6: Final answer
    x = 52,571.35

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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.