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Finding the Fourth Proportional to 64,262.06, 96,365.12 and 30,537.86

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Solution

The fourth proportional to 64,262.06, 96,365.12 and 30,537.86 is: 45,793.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,262.06 : 96,365.12 = 30,537.86 : x
  2. Step 2: Convert to fraction form
    64,262.06/96,365.12 = 30,537.86/x
  3. Step 3: Cross multiply
    64,262.06x = 96,365.12 × 30,537.86
  4. Step 4: Simplify right side
    64,262.06x = 2,942,784,543.44
  5. Step 5: Solve for x
    x = 2,942,784,543.44/64,262.06
  6. Step 6: Final answer
    x = 45,793.50

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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.