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Finding the Fourth Proportional to 46,238.70, 69,365.01 and 16,649.60

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Solution

The fourth proportional to 46,238.70, 69,365.01 and 16,649.60 is: 24,976.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,238.70 : 69,365.01 = 16,649.60 : x
  2. Step 2: Convert to fraction form
    46,238.70/69,365.01 = 16,649.60/x
  3. Step 3: Cross multiply
    46,238.70x = 69,365.01 × 16,649.60
  4. Step 4: Simplify right side
    46,238.70x = 1,154,899,682.63
  5. Step 5: Solve for x
    x = 1,154,899,682.63/46,238.70
  6. Step 6: Final answer
    x = 24,976.91

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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.