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Finding the Fourth Proportional to 46,954.56, 70,435.08 and 13,674.90

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Solution

The fourth proportional to 46,954.56, 70,435.08 and 13,674.90 is: 20,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,954.56 : 70,435.08 = 13,674.90 : x
  2. Step 2: Convert to fraction form
    46,954.56/70,435.08 = 13,674.90/x
  3. Step 3: Cross multiply
    46,954.56x = 70,435.08 × 13,674.90
  4. Step 4: Simplify right side
    46,954.56x = 963,192,675.49
  5. Step 5: Solve for x
    x = 963,192,675.49/46,954.56
  6. Step 6: Final answer
    x = 20,513.29

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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.