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Finding the Fourth Proportional to 76,884.82, 106,082.96 and 46,669.40

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Solution

The fourth proportional to 76,884.82, 106,082.96 and 46,669.40 is: 64,392.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,884.82 : 106,082.96 = 46,669.40 : x
  2. Step 2: Convert to fraction form
    76,884.82/106,082.96 = 46,669.40/x
  3. Step 3: Cross multiply
    76,884.82x = 106,082.96 × 46,669.40
  4. Step 4: Simplify right side
    76,884.82x = 4,950,828,093.42
  5. Step 5: Solve for x
    x = 4,950,828,093.42/76,884.82
  6. Step 6: Final answer
    x = 64,392.79

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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.