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Finding the Fourth Proportional to 46,896, 64,716.48 and 25,675.44

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Solution

The fourth proportional to 46,896, 64,716.48 and 25,675.44 is: 35,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,896 : 64,716.48 = 25,675.44 : x
  2. Step 2: Convert to fraction form
    46,896/64,716.48 = 25,675.44/x
  3. Step 3: Cross multiply
    46,896x = 64,716.48 × 25,675.44
  4. Step 4: Simplify right side
    46,896x = 1,661,624,099.25
  5. Step 5: Solve for x
    x = 1,661,624,099.25/46,896
  6. Step 6: Final answer
    x = 35,432.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.