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Finding the Fourth Proportional to 93,855.86, 140,754.35 and 30,661.58

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Solution

The fourth proportional to 93,855.86, 140,754.35 and 30,661.58 is: 45,982.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,855.86 : 140,754.35 = 30,661.58 : x
  2. Step 2: Convert to fraction form
    93,855.86/140,754.35 = 30,661.58/x
  3. Step 3: Cross multiply
    93,855.86x = 140,754.35 × 30,661.58
  4. Step 4: Simplify right side
    93,855.86x = 4,315,749,905.79
  5. Step 5: Solve for x
    x = 4,315,749,905.79/93,855.86
  6. Step 6: Final answer
    x = 45,982.75

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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.