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Finding the Fourth Proportional to 82,416.54, 113,733.75 and 44,690.58

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Solution

The fourth proportional to 82,416.54, 113,733.75 and 44,690.58 is: 61,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,416.54 : 113,733.75 = 44,690.58 : x
  2. Step 2: Convert to fraction form
    82,416.54/113,733.75 = 44,690.58/x
  3. Step 3: Cross multiply
    82,416.54x = 113,733.75 × 44,690.58
  4. Step 4: Simplify right side
    82,416.54x = 5,082,827,253.08
  5. Step 5: Solve for x
    x = 5,082,827,253.08/82,416.54
  6. Step 6: Final answer
    x = 61,672.42

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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.