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Finding the Fourth Proportional to 32,313.14, 48,469.79 and 9,824.02

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Solution

The fourth proportional to 32,313.14, 48,469.79 and 9,824.02 is: 14,736.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,313.14 : 48,469.79 = 9,824.02 : x
  2. Step 2: Convert to fraction form
    32,313.14/48,469.79 = 9,824.02/x
  3. Step 3: Cross multiply
    32,313.14x = 48,469.79 × 9,824.02
  4. Step 4: Simplify right side
    32,313.14x = 476,167,894.89
  5. Step 5: Solve for x
    x = 476,167,894.89/32,313.14
  6. Step 6: Final answer
    x = 14,736.05

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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.