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Finding the Fourth Proportional to 46,606.70, 69,871.37 and 18,509.42

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Solution

The fourth proportional to 46,606.70, 69,871.37 and 18,509.42 is: 27,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,606.70 : 69,871.37 = 18,509.42 : x
  2. Step 2: Convert to fraction form
    46,606.70/69,871.37 = 18,509.42/x
  3. Step 3: Cross multiply
    46,606.70x = 69,871.37 × 18,509.42
  4. Step 4: Simplify right side
    46,606.70x = 1,293,278,091.40
  5. Step 5: Solve for x
    x = 1,293,278,091.40/46,606.70
  6. Step 6: Final answer
    x = 27,748.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.