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Finding the Fourth Proportional to 32,065.86, 44,263.26 and 28,702.74

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Solution

The fourth proportional to 32,065.86, 44,263.26 and 28,702.74 is: 39,620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,065.86 : 44,263.26 = 28,702.74 : x
  2. Step 2: Convert to fraction form
    32,065.86/44,263.26 = 28,702.74/x
  3. Step 3: Cross multiply
    32,065.86x = 44,263.26 × 28,702.74
  4. Step 4: Simplify right side
    32,065.86x = 1,270,476,843.33
  5. Step 5: Solve for x
    x = 1,270,476,843.33/32,065.86
  6. Step 6: Final answer
    x = 39,620.86

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