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Finding the Fourth Proportional to 35,519.58, 53,288.30 and 10,219.14

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Solution

The fourth proportional to 35,519.58, 53,288.30 and 10,219.14 is: 15,331.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,519.58 : 53,288.30 = 10,219.14 : x
  2. Step 2: Convert to fraction form
    35,519.58/53,288.30 = 10,219.14/x
  3. Step 3: Cross multiply
    35,519.58x = 53,288.30 × 10,219.14
  4. Step 4: Simplify right side
    35,519.58x = 544,560,598.06
  5. Step 5: Solve for x
    x = 544,560,598.06/35,519.58
  6. Step 6: Final answer
    x = 15,331.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.