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Finding the Fourth Proportional to 82,998.99, 114,537.38 and 46,697.67

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Solution

The fourth proportional to 82,998.99, 114,537.38 and 46,697.67 is: 64,442.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,998.99 : 114,537.38 = 46,697.67 : x
  2. Step 2: Convert to fraction form
    82,998.99/114,537.38 = 46,697.67/x
  3. Step 3: Cross multiply
    82,998.99x = 114,537.38 × 46,697.67
  4. Step 4: Simplify right side
    82,998.99x = 5,348,628,540.42
  5. Step 5: Solve for x
    x = 5,348,628,540.42/82,998.99
  6. Step 6: Final answer
    x = 64,442.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.