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Finding the Fourth Proportional to 30,793.37, 46,186.06 and 9,735.53

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Solution

The fourth proportional to 30,793.37, 46,186.06 and 9,735.53 is: 14,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.37 : 46,186.06 = 9,735.53 : x
  2. Step 2: Convert to fraction form
    30,793.37/46,186.06 = 9,735.53/x
  3. Step 3: Cross multiply
    30,793.37x = 46,186.06 × 9,735.53
  4. Step 4: Simplify right side
    30,793.37x = 449,645,541.78
  5. Step 5: Solve for x
    x = 449,645,541.78/30,793.37
  6. Step 6: Final answer
    x = 14,602.03

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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.