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Finding the Fourth Proportional to 65,188.73, 97,768.33 and 30,094.49

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Solution

The fourth proportional to 65,188.73, 97,768.33 and 30,094.49 is: 45,134.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,188.73 : 97,768.33 = 30,094.49 : x
  2. Step 2: Convert to fraction form
    65,188.73/97,768.33 = 30,094.49/x
  3. Step 3: Cross multiply
    65,188.73x = 97,768.33 × 30,094.49
  4. Step 4: Simplify right side
    65,188.73x = 2,942,288,029.50
  5. Step 5: Solve for x
    x = 2,942,288,029.50/65,188.73
  6. Step 6: Final answer
    x = 45,134.92

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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.