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Finding the Fourth Proportional to 30,602.46, 45,917.46 and 16,546.08

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Solution

The fourth proportional to 30,602.46, 45,917.46 and 16,546.08 is: 24,826.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,602.46 : 45,917.46 = 16,546.08 : x
  2. Step 2: Convert to fraction form
    30,602.46/45,917.46 = 16,546.08/x
  3. Step 3: Cross multiply
    30,602.46x = 45,917.46 × 16,546.08
  4. Step 4: Simplify right side
    30,602.46x = 759,753,966.56
  5. Step 5: Solve for x
    x = 759,753,966.56/30,602.46
  6. Step 6: Final answer
    x = 24,826.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.