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Finding the Fourth Proportional to 46,634.94, 64,356.12 and 25,414.16

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Solution

The fourth proportional to 46,634.94, 64,356.12 and 25,414.16 is: 35,071.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,634.94 : 64,356.12 = 25,414.16 : x
  2. Step 2: Convert to fraction form
    46,634.94/64,356.12 = 25,414.16/x
  3. Step 3: Cross multiply
    46,634.94x = 64,356.12 × 25,414.16
  4. Step 4: Simplify right side
    46,634.94x = 1,635,556,408.88
  5. Step 5: Solve for x
    x = 1,635,556,408.88/46,634.94
  6. Step 6: Final answer
    x = 35,071.48

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