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Finding the Fourth Proportional to 129,322.47, 193,983.78 and 35,828.22

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Solution

The fourth proportional to 129,322.47, 193,983.78 and 35,828.22 is: 53,742.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,322.47 : 193,983.78 = 35,828.22 : x
  2. Step 2: Convert to fraction form
    129,322.47/193,983.78 = 35,828.22/x
  3. Step 3: Cross multiply
    129,322.47x = 193,983.78 × 35,828.22
  4. Step 4: Simplify right side
    129,322.47x = 6,950,093,546.27
  5. Step 5: Solve for x
    x = 6,950,093,546.27/129,322.47
  6. Step 6: Final answer
    x = 53,742.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.