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Finding the Fourth Proportional to 32,102.70, 48,145.41 and 11,323.50

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Solution

The fourth proportional to 32,102.70, 48,145.41 and 11,323.50 is: 16,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,102.70 : 48,145.41 = 11,323.50 : x
  2. Step 2: Convert to fraction form
    32,102.70/48,145.41 = 11,323.50/x
  3. Step 3: Cross multiply
    32,102.70x = 48,145.41 × 11,323.50
  4. Step 4: Simplify right side
    32,102.70x = 545,174,550.14
  5. Step 5: Solve for x
    x = 545,174,550.14/32,102.70
  6. Step 6: Final answer
    x = 16,982.20

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1.5x scale

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.