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Finding the Fourth Proportional to 46,394.72, 64,024 and 25,173.80

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Solution

The fourth proportional to 46,394.72, 64,024 and 25,173.80 is: 34,739.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,394.72 : 64,024 = 25,173.80 : x
  2. Step 2: Convert to fraction form
    46,394.72/64,024 = 25,173.80/x
  3. Step 3: Cross multiply
    46,394.72x = 64,024 × 25,173.80
  4. Step 4: Simplify right side
    46,394.72x = 1,611,727,371.20
  5. Step 5: Solve for x
    x = 1,611,727,371.20/46,394.72
  6. Step 6: Final answer
    x = 34,739.46

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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.