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Finding the Fourth Proportional to 35,322.24, 48,744 and 19,406.28

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Solution

The fourth proportional to 35,322.24, 48,744 and 19,406.28 is: 26,780.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,322.24 : 48,744 = 19,406.28 : x
  2. Step 2: Convert to fraction form
    35,322.24/48,744 = 19,406.28/x
  3. Step 3: Cross multiply
    35,322.24x = 48,744 × 19,406.28
  4. Step 4: Simplify right side
    35,322.24x = 945,939,712.32
  5. Step 5: Solve for x
    x = 945,939,712.32/35,322.24
  6. Step 6: Final answer
    x = 26,780.29

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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.