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Finding the Fourth Proportional to 50,509.37, 69,703.10 and 27,847.87

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Solution

The fourth proportional to 50,509.37, 69,703.10 and 27,847.87 is: 38,430.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.37 : 69,703.10 = 27,847.87 : x
  2. Step 2: Convert to fraction form
    50,509.37/69,703.10 = 27,847.87/x
  3. Step 3: Cross multiply
    50,509.37x = 69,703.10 × 27,847.87
  4. Step 4: Simplify right side
    50,509.37x = 1,941,082,867.40
  5. Step 5: Solve for x
    x = 1,941,082,867.40/50,509.37
  6. Step 6: Final answer
    x = 38,430.15

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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.