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Finding the Fourth Proportional to 104,698.96, 157,046.24 and 25,813.86

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Solution

The fourth proportional to 104,698.96, 157,046.24 and 25,813.86 is: 38,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,698.96 : 157,046.24 = 25,813.86 : x
  2. Step 2: Convert to fraction form
    104,698.96/157,046.24 = 25,813.86/x
  3. Step 3: Cross multiply
    104,698.96x = 157,046.24 × 25,813.86
  4. Step 4: Simplify right side
    104,698.96x = 4,053,969,652.89
  5. Step 5: Solve for x
    x = 4,053,969,652.89/104,698.96
  6. Step 6: Final answer
    x = 38,720.25

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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.