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Finding the Fourth Proportional to 82,522.19, 113,883.33 and 46,711.44

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Solution

The fourth proportional to 82,522.19, 113,883.33 and 46,711.44 is: 64,463.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,522.19 : 113,883.33 = 46,711.44 : x
  2. Step 2: Convert to fraction form
    82,522.19/113,883.33 = 46,711.44/x
  3. Step 3: Cross multiply
    82,522.19x = 113,883.33 × 46,711.44
  4. Step 4: Simplify right side
    82,522.19x = 5,319,654,336.30
  5. Step 5: Solve for x
    x = 5,319,654,336.30/82,522.19
  6. Step 6: Final answer
    x = 64,463.32

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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.