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Finding the Fourth Proportional to 82,222.34, 113,467.10 and 44,496.59

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Solution

The fourth proportional to 82,222.34, 113,467.10 and 44,496.59 is: 61,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,222.34 : 113,467.10 = 44,496.59 : x
  2. Step 2: Convert to fraction form
    82,222.34/113,467.10 = 44,496.59/x
  3. Step 3: Cross multiply
    82,222.34x = 113,467.10 × 44,496.59
  4. Step 4: Simplify right side
    82,222.34x = 5,048,898,237.37
  5. Step 5: Solve for x
    x = 5,048,898,237.37/82,222.34
  6. Step 6: Final answer
    x = 61,405.43

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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.