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Finding the Fourth Proportional to 35,669.32, 53,512.88 and 10,709.84

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Solution

The fourth proportional to 35,669.32, 53,512.88 and 10,709.84 is: 16,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,669.32 : 53,512.88 = 10,709.84 : x
  2. Step 2: Convert to fraction form
    35,669.32/53,512.88 = 10,709.84/x
  3. Step 3: Cross multiply
    35,669.32x = 53,512.88 × 10,709.84
  4. Step 4: Simplify right side
    35,669.32x = 573,114,382.74
  5. Step 5: Solve for x
    x = 573,114,382.74/35,669.32
  6. Step 6: Final answer
    x = 16,067.43

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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.