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Finding the Fourth Proportional to 30,083.82, 41,438.64 and 25,298.40

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Solution

The fourth proportional to 30,083.82, 41,438.64 and 25,298.40 is: 34,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,083.82 : 41,438.64 = 25,298.40 : x
  2. Step 2: Convert to fraction form
    30,083.82/41,438.64 = 25,298.40/x
  3. Step 3: Cross multiply
    30,083.82x = 41,438.64 × 25,298.40
  4. Step 4: Simplify right side
    30,083.82x = 1,048,331,290.18
  5. Step 5: Solve for x
    x = 1,048,331,290.18/30,083.82
  6. Step 6: Final answer
    x = 34,847.01

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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.