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Finding the Fourth Proportional to 82,226.34, 113,466.02 and 46,419.89

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Solution

The fourth proportional to 82,226.34, 113,466.02 and 46,419.89 is: 64,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,226.34 : 113,466.02 = 46,419.89 : x
  2. Step 2: Convert to fraction form
    82,226.34/113,466.02 = 46,419.89/x
  3. Step 3: Cross multiply
    82,226.34x = 113,466.02 × 46,419.89
  4. Step 4: Simplify right side
    82,226.34x = 5,267,079,367.71
  5. Step 5: Solve for x
    x = 5,267,079,367.71/82,226.34
  6. Step 6: Final answer
    x = 64,055.87

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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.