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Finding the Fourth Proportional to 30,833.37, 46,222.37 and 25,602

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Solution

The fourth proportional to 30,833.37, 46,222.37 and 25,602 is: 38,380.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,833.37 : 46,222.37 = 25,602 : x
  2. Step 2: Convert to fraction form
    30,833.37/46,222.37 = 25,602/x
  3. Step 3: Cross multiply
    30,833.37x = 46,222.37 × 25,602
  4. Step 4: Simplify right side
    30,833.37x = 1,183,384,988.73
  5. Step 5: Solve for x
    x = 1,183,384,988.73/30,833.37
  6. Step 6: Final answer
    x = 38,380.01

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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.