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Finding the Fourth Proportional to 104,048.96, 156,108.47 and 32,983.20

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Solution

The fourth proportional to 104,048.96, 156,108.47 and 32,983.20 is: 49,485.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,048.96 : 156,108.47 = 32,983.20 : x
  2. Step 2: Convert to fraction form
    104,048.96/156,108.47 = 32,983.20/x
  3. Step 3: Cross multiply
    104,048.96x = 156,108.47 × 32,983.20
  4. Step 4: Simplify right side
    104,048.96x = 5,148,956,722.79
  5. Step 5: Solve for x
    x = 5,148,956,722.79/104,048.96
  6. Step 6: Final answer
    x = 49,485.91

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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.