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Finding the Fourth Proportional to 35,683.24, 49,243.32 and 19,768

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Solution

The fourth proportional to 35,683.24, 49,243.32 and 19,768 is: 27,280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,683.24 : 49,243.32 = 19,768 : x
  2. Step 2: Convert to fraction form
    35,683.24/49,243.32 = 19,768/x
  3. Step 3: Cross multiply
    35,683.24x = 49,243.32 × 19,768
  4. Step 4: Simplify right side
    35,683.24x = 973,441,949.76
  5. Step 5: Solve for x
    x = 973,441,949.76/35,683.24
  6. Step 6: Final answer
    x = 27,280.09

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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.