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Finding the Fourth Proportional to 32,104.08, 48,090.84 and 26,202

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Solution

The fourth proportional to 32,104.08, 48,090.84 and 26,202 is: 39,249.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,104.08 : 48,090.84 = 26,202 : x
  2. Step 2: Convert to fraction form
    32,104.08/48,090.84 = 26,202/x
  3. Step 3: Cross multiply
    32,104.08x = 48,090.84 × 26,202
  4. Step 4: Simplify right side
    32,104.08x = 1,260,076,189.68
  5. Step 5: Solve for x
    x = 1,260,076,189.68/32,104.08
  6. Step 6: Final answer
    x = 39,249.72

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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.