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Finding the Fourth Proportional to 30,107.76, 41,507.64 and 20,036.64

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Solution

The fourth proportional to 30,107.76, 41,507.64 and 20,036.64 is: 27,623.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107.76 : 41,507.64 = 20,036.64 : x
  2. Step 2: Convert to fraction form
    30,107.76/41,507.64 = 20,036.64/x
  3. Step 3: Cross multiply
    30,107.76x = 41,507.64 × 20,036.64
  4. Step 4: Simplify right side
    30,107.76x = 831,673,639.93
  5. Step 5: Solve for x
    x = 831,673,639.93/30,107.76
  6. Step 6: Final answer
    x = 27,623.23

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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.