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Finding the Fourth Proportional to 32,784.63, 49,081.26 and 24,388.37

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Solution

The fourth proportional to 32,784.63, 49,081.26 and 24,388.37 is: 36,511.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,784.63 : 49,081.26 = 24,388.37 : x
  2. Step 2: Convert to fraction form
    32,784.63/49,081.26 = 24,388.37/x
  3. Step 3: Cross multiply
    32,784.63x = 49,081.26 × 24,388.37
  4. Step 4: Simplify right side
    32,784.63x = 1,197,012,051.65
  5. Step 5: Solve for x
    x = 1,197,012,051.65/32,784.63
  6. Step 6: Final answer
    x = 36,511.38

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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.