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Finding the Fourth Proportional to 35,421.64, 53,138.23 and 10,464.21

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Solution

The fourth proportional to 35,421.64, 53,138.23 and 10,464.21 is: 15,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,421.64 : 53,138.23 = 10,464.21 : x
  2. Step 2: Convert to fraction form
    35,421.64/53,138.23 = 10,464.21/x
  3. Step 3: Cross multiply
    35,421.64x = 53,138.23 × 10,464.21
  4. Step 4: Simplify right side
    35,421.64x = 556,049,571.59
  5. Step 5: Solve for x
    x = 556,049,571.59/35,421.64
  6. Step 6: Final answer
    x = 15,698.02

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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.