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Finding the Fourth Proportional to 46,684.96, 64,426.88 and 25,465.44

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Solution

The fourth proportional to 46,684.96, 64,426.88 and 25,465.44 is: 35,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,684.96 : 64,426.88 = 25,465.44 : x
  2. Step 2: Convert to fraction form
    46,684.96/64,426.88 = 25,465.44/x
  3. Step 3: Cross multiply
    46,684.96x = 64,426.88 × 25,465.44
  4. Step 4: Simplify right side
    46,684.96x = 1,640,658,847.03
  5. Step 5: Solve for x
    x = 1,640,658,847.03/46,684.96
  6. Step 6: Final answer
    x = 35,143.20

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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.