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Finding the Fourth Proportional to 30,591.57, 45,887.37 and 8,407.29

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Solution

The fourth proportional to 30,591.57, 45,887.37 and 8,407.29 is: 12,610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,591.57 : 45,887.37 = 8,407.29 : x
  2. Step 2: Convert to fraction form
    30,591.57/45,887.37 = 8,407.29/x
  3. Step 3: Cross multiply
    30,591.57x = 45,887.37 × 8,407.29
  4. Step 4: Simplify right side
    30,591.57x = 385,788,426.93
  5. Step 5: Solve for x
    x = 385,788,426.93/30,591.57
  6. Step 6: Final answer
    x = 12,610.94

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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.