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Finding the Fourth Proportional to 32,879.76, 49,325 and 18,095.60

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Solution

The fourth proportional to 32,879.76, 49,325 and 18,095.60 is: 27,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,879.76 : 49,325 = 18,095.60 : x
  2. Step 2: Convert to fraction form
    32,879.76/49,325 = 18,095.60/x
  3. Step 3: Cross multiply
    32,879.76x = 49,325 × 18,095.60
  4. Step 4: Simplify right side
    32,879.76x = 892,565,470.00
  5. Step 5: Solve for x
    x = 892,565,470.00/32,879.76
  6. Step 6: Final answer
    x = 27,146.35

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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.