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Finding the Fourth Proportional to 32,902.83, 49,354.25 and 9,529.27

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Solution

The fourth proportional to 32,902.83, 49,354.25 and 9,529.27 is: 14,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,902.83 : 49,354.25 = 9,529.27 : x
  2. Step 2: Convert to fraction form
    32,902.83/49,354.25 = 9,529.27/x
  3. Step 3: Cross multiply
    32,902.83x = 49,354.25 × 9,529.27
  4. Step 4: Simplify right side
    32,902.83x = 470,309,802.87
  5. Step 5: Solve for x
    x = 470,309,802.87/32,902.83
  6. Step 6: Final answer
    x = 14,293.90

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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.