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Finding the Fourth Proportional to 82,266.66, 113,521.77 and 46,451.70

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Solution

The fourth proportional to 82,266.66, 113,521.77 and 46,451.70 is: 64,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,266.66 : 113,521.77 = 46,451.70 : x
  2. Step 2: Convert to fraction form
    82,266.66/113,521.77 = 46,451.70/x
  3. Step 3: Cross multiply
    82,266.66x = 113,521.77 × 46,451.70
  4. Step 4: Simplify right side
    82,266.66x = 5,273,279,203.51
  5. Step 5: Solve for x
    x = 5,273,279,203.51/82,266.66
  6. Step 6: Final answer
    x = 64,099.83

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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.