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Finding the Fourth Proportional to 98,834.32, 148,234.77 and 27,740.64

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Solution

The fourth proportional to 98,834.32, 148,234.77 and 27,740.64 is: 41,606.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,834.32 : 148,234.77 = 27,740.64 : x
  2. Step 2: Convert to fraction form
    98,834.32/148,234.77 = 27,740.64/x
  3. Step 3: Cross multiply
    98,834.32x = 148,234.77 × 27,740.64
  4. Step 4: Simplify right side
    98,834.32x = 4,112,127,390.05
  5. Step 5: Solve for x
    x = 4,112,127,390.05/98,834.32
  6. Step 6: Final answer
    x = 41,606.27

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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.