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Finding the Fourth Proportional to 30,715.66, 46,071.60 and 18,072.41

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Solution

The fourth proportional to 30,715.66, 46,071.60 and 18,072.41 is: 27,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,715.66 : 46,071.60 = 18,072.41 : x
  2. Step 2: Convert to fraction form
    30,715.66/46,071.60 = 18,072.41/x
  3. Step 3: Cross multiply
    30,715.66x = 46,071.60 × 18,072.41
  4. Step 4: Simplify right side
    30,715.66x = 832,624,844.56
  5. Step 5: Solve for x
    x = 832,624,844.56/30,715.66
  6. Step 6: Final answer
    x = 27,107.50

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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.