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Finding the Fourth Proportional to 46,219.76, 69,344.48 and 32,048

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Solution

The fourth proportional to 46,219.76, 69,344.48 and 32,048 is: 48,082.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,219.76 : 69,344.48 = 32,048 : x
  2. Step 2: Convert to fraction form
    46,219.76/69,344.48 = 32,048/x
  3. Step 3: Cross multiply
    46,219.76x = 69,344.48 × 32,048
  4. Step 4: Simplify right side
    46,219.76x = 2,222,351,895.04
  5. Step 5: Solve for x
    x = 2,222,351,895.04/46,219.76
  6. Step 6: Final answer
    x = 48,082.29

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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.