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Finding the Fourth Proportional to 97,078.62, 145,617.81 and 30,524.57

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Solution

The fourth proportional to 97,078.62, 145,617.81 and 30,524.57 is: 45,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,078.62 : 145,617.81 = 30,524.57 : x
  2. Step 2: Convert to fraction form
    97,078.62/145,617.81 = 30,524.57/x
  3. Step 3: Cross multiply
    97,078.62x = 145,617.81 × 30,524.57
  4. Step 4: Simplify right side
    97,078.62x = 4,444,920,306.50
  5. Step 5: Solve for x
    x = 4,444,920,306.50/97,078.62
  6. Step 6: Final answer
    x = 45,786.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.