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Finding the Fourth Proportional to 114,322.89, 171,509.40 and 38,418.71

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Solution

The fourth proportional to 114,322.89, 171,509.40 and 38,418.71 is: 57,636.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,322.89 : 171,509.40 = 38,418.71 : x
  2. Step 2: Convert to fraction form
    114,322.89/171,509.40 = 38,418.71/x
  3. Step 3: Cross multiply
    114,322.89x = 171,509.40 × 38,418.71
  4. Step 4: Simplify right side
    114,322.89x = 6,589,169,043.33
  5. Step 5: Solve for x
    x = 6,589,169,043.33/114,322.89
  6. Step 6: Final answer
    x = 57,636.48

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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.