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Finding the Fourth Proportional to 37,367.08, 55,802.94 and 32,840

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Solution

The fourth proportional to 37,367.08, 55,802.94 and 32,840 is: 49,042.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,367.08 : 55,802.94 = 32,840 : x
  2. Step 2: Convert to fraction form
    37,367.08/55,802.94 = 32,840/x
  3. Step 3: Cross multiply
    37,367.08x = 55,802.94 × 32,840
  4. Step 4: Simplify right side
    37,367.08x = 1,832,568,549.60
  5. Step 5: Solve for x
    x = 1,832,568,549.60/37,367.08
  6. Step 6: Final answer
    x = 49,042.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.