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Finding the Fourth Proportional to 114,513.76, 171,821.76 and 44,398.54

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Solution

The fourth proportional to 114,513.76, 171,821.76 and 44,398.54 is: 66,617.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,513.76 : 171,821.76 = 44,398.54 : x
  2. Step 2: Convert to fraction form
    114,513.76/171,821.76 = 44,398.54/x
  3. Step 3: Cross multiply
    114,513.76x = 171,821.76 × 44,398.54
  4. Step 4: Simplify right side
    114,513.76x = 7,628,635,284.23
  5. Step 5: Solve for x
    x = 7,628,635,284.23/114,513.76
  6. Step 6: Final answer
    x = 66,617.63

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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.