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Finding the Fourth Proportional to 35,644.32, 53,464.32 and 10,684.44

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Solution

The fourth proportional to 35,644.32, 53,464.32 and 10,684.44 is: 16,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644.32 : 53,464.32 = 10,684.44 : x
  2. Step 2: Convert to fraction form
    35,644.32/53,464.32 = 10,684.44/x
  3. Step 3: Cross multiply
    35,644.32x = 53,464.32 × 10,684.44
  4. Step 4: Simplify right side
    35,644.32x = 571,236,319.18
  5. Step 5: Solve for x
    x = 571,236,319.18/35,644.32
  6. Step 6: Final answer
    x = 16,026.01

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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.