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Finding the Fourth Proportional to 98,435.64, 147,644.10 and 39,255.48

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Solution

The fourth proportional to 98,435.64, 147,644.10 and 39,255.48 is: 58,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,435.64 : 147,644.10 = 39,255.48 : x
  2. Step 2: Convert to fraction form
    98,435.64/147,644.10 = 39,255.48/x
  3. Step 3: Cross multiply
    98,435.64x = 147,644.10 × 39,255.48
  4. Step 4: Simplify right side
    98,435.64x = 5,795,840,014.67
  5. Step 5: Solve for x
    x = 5,795,840,014.67/98,435.64
  6. Step 6: Final answer
    x = 58,879.49

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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.