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Finding the Fourth Proportional to 32,874.57, 49,290.75 and 19,544.01

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Solution

The fourth proportional to 32,874.57, 49,290.75 and 19,544.01 is: 29,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,874.57 : 49,290.75 = 19,544.01 : x
  2. Step 2: Convert to fraction form
    32,874.57/49,290.75 = 19,544.01/x
  3. Step 3: Cross multiply
    32,874.57x = 49,290.75 × 19,544.01
  4. Step 4: Simplify right side
    32,874.57x = 963,338,910.91
  5. Step 5: Solve for x
    x = 963,338,910.91/32,874.57
  6. Step 6: Final answer
    x = 29,303.47

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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.