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Finding the Fourth Proportional to 35,424.66, 53,145.68 and 10,464.56

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Solution

The fourth proportional to 35,424.66, 53,145.68 and 10,464.56 is: 15,699.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,424.66 : 53,145.68 = 10,464.56 : x
  2. Step 2: Convert to fraction form
    35,424.66/53,145.68 = 10,464.56/x
  3. Step 3: Cross multiply
    35,424.66x = 53,145.68 × 10,464.56
  4. Step 4: Simplify right side
    35,424.66x = 556,146,157.10
  5. Step 5: Solve for x
    x = 556,146,157.10/35,424.66
  6. Step 6: Final answer
    x = 15,699.41

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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.