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Finding the Fourth Proportional to 46,566, 64,261.20 and 25,345.44

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Solution

The fourth proportional to 46,566, 64,261.20 and 25,345.44 is: 34,976.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,566 : 64,261.20 = 25,345.44 : x
  2. Step 2: Convert to fraction form
    46,566/64,261.20 = 25,345.44/x
  3. Step 3: Cross multiply
    46,566x = 64,261.20 × 25,345.44
  4. Step 4: Simplify right side
    46,566x = 1,628,728,388.93
  5. Step 5: Solve for x
    x = 1,628,728,388.93/46,566
  6. Step 6: Final answer
    x = 34,976.77

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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.