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Finding the Fourth Proportional to 50,541, 69,745.14 and 27,880.08

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Solution

The fourth proportional to 50,541, 69,745.14 and 27,880.08 is: 38,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,541 : 69,745.14 = 27,880.08 : x
  2. Step 2: Convert to fraction form
    50,541/69,745.14 = 27,880.08/x
  3. Step 3: Cross multiply
    50,541x = 69,745.14 × 27,880.08
  4. Step 4: Simplify right side
    50,541x = 1,944,500,082.81
  5. Step 5: Solve for x
    x = 1,944,500,082.81/50,541
  6. Step 6: Final answer
    x = 38,473.72

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1.5x scale

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.