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Finding the Fourth Proportional to 32,819, 49,232 and 9,126.48

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Solution

The fourth proportional to 32,819, 49,232 and 9,126.48 is: 13,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,819 : 49,232 = 9,126.48 : x
  2. Step 2: Convert to fraction form
    32,819/49,232 = 9,126.48/x
  3. Step 3: Cross multiply
    32,819x = 49,232 × 9,126.48
  4. Step 4: Simplify right side
    32,819x = 449,314,863.36
  5. Step 5: Solve for x
    x = 449,314,863.36/32,819
  6. Step 6: Final answer
    x = 13,690.69

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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.