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Finding the Fourth Proportional to 82,045.60, 113,223 and 44,319.84

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Solution

The fourth proportional to 82,045.60, 113,223 and 44,319.84 is: 61,161.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,045.60 : 113,223 = 44,319.84 : x
  2. Step 2: Convert to fraction form
    82,045.60/113,223 = 44,319.84/x
  3. Step 3: Cross multiply
    82,045.60x = 113,223 × 44,319.84
  4. Step 4: Simplify right side
    82,045.60x = 5,018,025,244.32
  5. Step 5: Solve for x
    x = 5,018,025,244.32/82,045.60
  6. Step 6: Final answer
    x = 61,161.42

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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.