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Finding the Fourth Proportional to 32,573.94, 48,855.69 and 9,202.02

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Solution

The fourth proportional to 32,573.94, 48,855.69 and 9,202.02 is: 13,801.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,573.94 : 48,855.69 = 9,202.02 : x
  2. Step 2: Convert to fraction form
    32,573.94/48,855.69 = 9,202.02/x
  3. Step 3: Cross multiply
    32,573.94x = 48,855.69 × 9,202.02
  4. Step 4: Simplify right side
    32,573.94x = 449,571,036.49
  5. Step 5: Solve for x
    x = 449,571,036.49/32,573.94
  6. Step 6: Final answer
    x = 13,801.56

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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.