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Finding the Fourth Proportional to 30,832.67, 46,240.90 and 13,298.60

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Solution

The fourth proportional to 30,832.67, 46,240.90 and 13,298.60 is: 19,944.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,832.67 : 46,240.90 = 13,298.60 : x
  2. Step 2: Convert to fraction form
    30,832.67/46,240.90 = 13,298.60/x
  3. Step 3: Cross multiply
    30,832.67x = 46,240.90 × 13,298.60
  4. Step 4: Simplify right side
    30,832.67x = 614,939,092.39
  5. Step 5: Solve for x
    x = 614,939,092.39/30,832.67
  6. Step 6: Final answer
    x = 19,944.40

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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.