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Finding the Fourth Proportional to 30,932.68, 46,407.66 and 12,201.16

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Solution

The fourth proportional to 30,932.68, 46,407.66 and 12,201.16 is: 18,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,932.68 : 46,407.66 = 12,201.16 : x
  2. Step 2: Convert to fraction form
    30,932.68/46,407.66 = 12,201.16/x
  3. Step 3: Cross multiply
    30,932.68x = 46,407.66 × 12,201.16
  4. Step 4: Simplify right side
    30,932.68x = 566,227,284.89
  5. Step 5: Solve for x
    x = 566,227,284.89/30,932.68
  6. Step 6: Final answer
    x = 18,305.15

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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.