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Finding the Fourth Proportional to 32,015.74, 44,185.71 and 18,584.11

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Solution

The fourth proportional to 32,015.74, 44,185.71 and 18,584.11 is: 25,648.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.74 : 44,185.71 = 18,584.11 : x
  2. Step 2: Convert to fraction form
    32,015.74/44,185.71 = 18,584.11/x
  3. Step 3: Cross multiply
    32,015.74x = 44,185.71 × 18,584.11
  4. Step 4: Simplify right side
    32,015.74x = 821,152,095.07
  5. Step 5: Solve for x
    x = 821,152,095.07/32,015.74
  6. Step 6: Final answer
    x = 25,648.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.