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Finding the Fourth Proportional to 32,904.78, 49,345.63 and 9,205.96

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Solution

The fourth proportional to 32,904.78, 49,345.63 and 9,205.96 is: 13,805.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,904.78 : 49,345.63 = 9,205.96 : x
  2. Step 2: Convert to fraction form
    32,904.78/49,345.63 = 9,205.96/x
  3. Step 3: Cross multiply
    32,904.78x = 49,345.63 × 9,205.96
  4. Step 4: Simplify right side
    32,904.78x = 454,273,849.93
  5. Step 5: Solve for x
    x = 454,273,849.93/32,904.78
  6. Step 6: Final answer
    x = 13,805.71

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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.