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Finding the Fourth Proportional to 46,649.62, 69,961.42 and 12,907.51

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Solution

The fourth proportional to 46,649.62, 69,961.42 and 12,907.51 is: 19,357.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,649.62 : 69,961.42 = 12,907.51 : x
  2. Step 2: Convert to fraction form
    46,649.62/69,961.42 = 12,907.51/x
  3. Step 3: Cross multiply
    46,649.62x = 69,961.42 × 12,907.51
  4. Step 4: Simplify right side
    46,649.62x = 903,027,728.26
  5. Step 5: Solve for x
    x = 903,027,728.26/46,649.62
  6. Step 6: Final answer
    x = 19,357.67

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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.