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Finding the Fourth Proportional to 36,050.60, 49,746.84 and 20,938.44

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Solution

The fourth proportional to 36,050.60, 49,746.84 and 20,938.44 is: 28,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,050.60 : 49,746.84 = 20,938.44 : x
  2. Step 2: Convert to fraction form
    36,050.60/49,746.84 = 20,938.44/x
  3. Step 3: Cross multiply
    36,050.60x = 49,746.84 × 20,938.44
  4. Step 4: Simplify right side
    36,050.60x = 1,041,621,224.53
  5. Step 5: Solve for x
    x = 1,041,621,224.53/36,050.60
  6. Step 6: Final answer
    x = 28,893.31

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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.