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Finding the Fourth Proportional to 32,848.81, 49,250.73 and 11,788.38

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Solution

The fourth proportional to 32,848.81, 49,250.73 and 11,788.38 is: 17,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,848.81 : 49,250.73 = 11,788.38 : x
  2. Step 2: Convert to fraction form
    32,848.81/49,250.73 = 11,788.38/x
  3. Step 3: Cross multiply
    32,848.81x = 49,250.73 × 11,788.38
  4. Step 4: Simplify right side
    32,848.81x = 580,586,320.52
  5. Step 5: Solve for x
    x = 580,586,320.52/32,848.81
  6. Step 6: Final answer
    x = 17,674.50

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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.