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Finding the Fourth Proportional to 28,097.46, 42,119.55 and 9,616.50

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Solution

The fourth proportional to 28,097.46, 42,119.55 and 9,616.50 is: 14,415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,097.46 : 42,119.55 = 9,616.50 : x
  2. Step 2: Convert to fraction form
    28,097.46/42,119.55 = 9,616.50/x
  3. Step 3: Cross multiply
    28,097.46x = 42,119.55 × 9,616.50
  4. Step 4: Simplify right side
    28,097.46x = 405,042,652.58
  5. Step 5: Solve for x
    x = 405,042,652.58/28,097.46
  6. Step 6: Final answer
    x = 14,415.63

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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.