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Finding the Fourth Proportional to 30,932.34, 42,686.64 and 16,785.20

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Solution

The fourth proportional to 30,932.34, 42,686.64 and 16,785.20 is: 23,163.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,932.34 : 42,686.64 = 16,785.20 : x
  2. Step 2: Convert to fraction form
    30,932.34/42,686.64 = 16,785.20/x
  3. Step 3: Cross multiply
    30,932.34x = 42,686.64 × 16,785.20
  4. Step 4: Simplify right side
    30,932.34x = 716,503,576.29
  5. Step 5: Solve for x
    x = 716,503,576.29/30,932.34
  6. Step 6: Final answer
    x = 23,163.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.