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Finding the Fourth Proportional to 50,082.25, 69,113.51 and 27,421.25

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Solution

The fourth proportional to 50,082.25, 69,113.51 and 27,421.25 is: 37,841.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,082.25 : 69,113.51 = 27,421.25 : x
  2. Step 2: Convert to fraction form
    50,082.25/69,113.51 = 27,421.25/x
  3. Step 3: Cross multiply
    50,082.25x = 69,113.51 × 27,421.25
  4. Step 4: Simplify right side
    50,082.25x = 1,895,178,559.07
  5. Step 5: Solve for x
    x = 1,895,178,559.07/50,082.25
  6. Step 6: Final answer
    x = 37,841.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.