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Finding the Fourth Proportional to 35,447.63, 53,171.64 and 9,150.57

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Solution

The fourth proportional to 35,447.63, 53,171.64 and 9,150.57 is: 13,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,447.63 : 53,171.64 = 9,150.57 : x
  2. Step 2: Convert to fraction form
    35,447.63/53,171.64 = 9,150.57/x
  3. Step 3: Cross multiply
    35,447.63x = 53,171.64 × 9,150.57
  4. Step 4: Simplify right side
    35,447.63x = 486,550,813.83
  5. Step 5: Solve for x
    x = 486,550,813.83/35,447.63
  6. Step 6: Final answer
    x = 13,725.91

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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.