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Finding the Fourth Proportional to 35,687.64, 53,531.31 and 9,033.72

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Solution

The fourth proportional to 35,687.64, 53,531.31 and 9,033.72 is: 13,550.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,687.64 : 53,531.31 = 9,033.72 : x
  2. Step 2: Convert to fraction form
    35,687.64/53,531.31 = 9,033.72/x
  3. Step 3: Cross multiply
    35,687.64x = 53,531.31 × 9,033.72
  4. Step 4: Simplify right side
    35,687.64x = 483,586,865.77
  5. Step 5: Solve for x
    x = 483,586,865.77/35,687.64
  6. Step 6: Final answer
    x = 13,550.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.