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Finding the Fourth Proportional to 64,530.96, 96,748.74 and 27,102.12

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Solution

The fourth proportional to 64,530.96, 96,748.74 and 27,102.12 is: 40,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,530.96 : 96,748.74 = 27,102.12 : x
  2. Step 2: Convert to fraction form
    64,530.96/96,748.74 = 27,102.12/x
  3. Step 3: Cross multiply
    64,530.96x = 96,748.74 × 27,102.12
  4. Step 4: Simplify right side
    64,530.96x = 2,622,095,961.33
  5. Step 5: Solve for x
    x = 2,622,095,961.33/64,530.96
  6. Step 6: Final answer
    x = 40,633.15

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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.