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Finding the Fourth Proportional to 32,893.37, 49,332.50 and 9,202.58

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Solution

The fourth proportional to 32,893.37, 49,332.50 and 9,202.58 is: 13,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,893.37 : 49,332.50 = 9,202.58 : x
  2. Step 2: Convert to fraction form
    32,893.37/49,332.50 = 9,202.58/x
  3. Step 3: Cross multiply
    32,893.37x = 49,332.50 × 9,202.58
  4. Step 4: Simplify right side
    32,893.37x = 453,985,985.17
  5. Step 5: Solve for x
    x = 453,985,985.17/32,893.37
  6. Step 6: Final answer
    x = 13,801.75

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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.