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Finding the Fourth Proportional to 46,106, 69,143.58 and 18,018.78

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Solution

The fourth proportional to 46,106, 69,143.58 and 18,018.78 is: 27,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,106 : 69,143.58 = 18,018.78 : x
  2. Step 2: Convert to fraction form
    46,106/69,143.58 = 18,018.78/x
  3. Step 3: Cross multiply
    46,106x = 69,143.58 × 18,018.78
  4. Step 4: Simplify right side
    46,106x = 1,245,882,956.43
  5. Step 5: Solve for x
    x = 1,245,882,956.43/46,106
  6. Step 6: Final answer
    x = 27,022.14

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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.