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Finding the Fourth Proportional to 102,650.40, 153,973.92 and 32,529.60

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Solution

The fourth proportional to 102,650.40, 153,973.92 and 32,529.60 is: 48,793.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,650.40 : 153,973.92 = 32,529.60 : x
  2. Step 2: Convert to fraction form
    102,650.40/153,973.92 = 32,529.60/x
  3. Step 3: Cross multiply
    102,650.40x = 153,973.92 × 32,529.60
  4. Step 4: Simplify right side
    102,650.40x = 5,008,710,028.03
  5. Step 5: Solve for x
    x = 5,008,710,028.03/102,650.40
  6. Step 6: Final answer
    x = 48,793.87

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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.