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Finding the Fourth Proportional to 50,509.86, 69,704.10 and 27,849.66

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Solution

The fourth proportional to 50,509.86, 69,704.10 and 27,849.66 is: 38,432.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,509.86 : 69,704.10 = 27,849.66 : x
  2. Step 2: Convert to fraction form
    50,509.86/69,704.10 = 27,849.66/x
  3. Step 3: Cross multiply
    50,509.86x = 69,704.10 × 27,849.66
  4. Step 4: Simplify right side
    50,509.86x = 1,941,235,485.61
  5. Step 5: Solve for x
    x = 1,941,235,485.61/50,509.86
  6. Step 6: Final answer
    x = 38,432.80

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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.