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Finding the Fourth Proportional to 32,802, 49,211.34 and 9,428.46

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Solution

The fourth proportional to 32,802, 49,211.34 and 9,428.46 is: 14,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,802 : 49,211.34 = 9,428.46 : x
  2. Step 2: Convert to fraction form
    32,802/49,211.34 = 9,428.46/x
  3. Step 3: Cross multiply
    32,802x = 49,211.34 × 9,428.46
  4. Step 4: Simplify right side
    32,802x = 463,987,150.74
  5. Step 5: Solve for x
    x = 463,987,150.74/32,802
  6. Step 6: Final answer
    x = 14,145.09

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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.