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Finding the Fourth Proportional to 35,534.44, 49,040.74 and 21,385

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Solution

The fourth proportional to 35,534.44, 49,040.74 and 21,385 is: 29,513.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,534.44 : 49,040.74 = 21,385 : x
  2. Step 2: Convert to fraction form
    35,534.44/49,040.74 = 21,385/x
  3. Step 3: Cross multiply
    35,534.44x = 49,040.74 × 21,385
  4. Step 4: Simplify right side
    35,534.44x = 1,048,736,224.90
  5. Step 5: Solve for x
    x = 1,048,736,224.90/35,534.44
  6. Step 6: Final answer
    x = 29,513.23

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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.