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Finding the Fourth Proportional to 28,041, 42,065.88 and 8,317.56

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Solution

The fourth proportional to 28,041, 42,065.88 and 8,317.56 is: 12,477.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,041 : 42,065.88 = 8,317.56 : x
  2. Step 2: Convert to fraction form
    28,041/42,065.88 = 8,317.56/x
  3. Step 3: Cross multiply
    28,041x = 42,065.88 × 8,317.56
  4. Step 4: Simplify right side
    28,041x = 349,885,480.85
  5. Step 5: Solve for x
    x = 349,885,480.85/28,041
  6. Step 6: Final answer
    x = 12,477.64

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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.