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Finding the Fourth Proportional to 30,896.64, 42,637.44 and 16,749.48

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Solution

The fourth proportional to 30,896.64, 42,637.44 and 16,749.48 is: 23,114.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,896.64 : 42,637.44 = 16,749.48 : x
  2. Step 2: Convert to fraction form
    30,896.64/42,637.44 = 16,749.48/x
  3. Step 3: Cross multiply
    30,896.64x = 42,637.44 × 16,749.48
  4. Step 4: Simplify right side
    30,896.64x = 714,154,948.53
  5. Step 5: Solve for x
    x = 714,154,948.53/30,896.64
  6. Step 6: Final answer
    x = 23,114.32

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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.