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Finding the Fourth Proportional to 38,441.50, 57,662.63 and 13,482.15

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Solution

The fourth proportional to 38,441.50, 57,662.63 and 13,482.15 is: 20,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,441.50 : 57,662.63 = 13,482.15 : x
  2. Step 2: Convert to fraction form
    38,441.50/57,662.63 = 13,482.15/x
  3. Step 3: Cross multiply
    38,441.50x = 57,662.63 × 13,482.15
  4. Step 4: Simplify right side
    38,441.50x = 777,416,069.80
  5. Step 5: Solve for x
    x = 777,416,069.80/38,441.50
  6. Step 6: Final answer
    x = 20,223.35

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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.