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Finding the Fourth Proportional to 82,223.45, 113,490.29 and 46,434.41

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Solution

The fourth proportional to 82,223.45, 113,490.29 and 46,434.41 is: 64,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,223.45 : 113,490.29 = 46,434.41 : x
  2. Step 2: Convert to fraction form
    82,223.45/113,490.29 = 46,434.41/x
  3. Step 3: Cross multiply
    82,223.45x = 113,490.29 × 46,434.41
  4. Step 4: Simplify right side
    82,223.45x = 5,269,854,656.88
  5. Step 5: Solve for x
    x = 5,269,854,656.88/82,223.45
  6. Step 6: Final answer
    x = 64,091.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.