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Finding the Fourth Proportional to 46,453.84, 69,680.74 and 13,174.20

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Solution

The fourth proportional to 46,453.84, 69,680.74 and 13,174.20 is: 19,761.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,453.84 : 69,680.74 = 13,174.20 : x
  2. Step 2: Convert to fraction form
    46,453.84/69,680.74 = 13,174.20/x
  3. Step 3: Cross multiply
    46,453.84x = 69,680.74 × 13,174.20
  4. Step 4: Simplify right side
    46,453.84x = 917,988,004.91
  5. Step 5: Solve for x
    x = 917,988,004.91/46,453.84
  6. Step 6: Final answer
    x = 19,761.29

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1.5x scale

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.