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Finding the Fourth Proportional to 32,898.50, 49,342.28 and 11,834.28

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Solution

The fourth proportional to 32,898.50, 49,342.28 and 11,834.28 is: 17,749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,898.50 : 49,342.28 = 11,834.28 : x
  2. Step 2: Convert to fraction form
    32,898.50/49,342.28 = 11,834.28/x
  3. Step 3: Cross multiply
    32,898.50x = 49,342.28 × 11,834.28
  4. Step 4: Simplify right side
    32,898.50x = 583,930,357.36
  5. Step 5: Solve for x
    x = 583,930,357.36/32,898.50
  6. Step 6: Final answer
    x = 17,749.45

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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.