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Finding the Fourth Proportional to 50,707.50, 69,975.06 and 28,047.42

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Solution

The fourth proportional to 50,707.50, 69,975.06 and 28,047.42 is: 38,704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,707.50 : 69,975.06 = 28,047.42 : x
  2. Step 2: Convert to fraction form
    50,707.50/69,975.06 = 28,047.42/x
  3. Step 3: Cross multiply
    50,707.50x = 69,975.06 × 28,047.42
  4. Step 4: Simplify right side
    50,707.50x = 1,962,619,897.35
  5. Step 5: Solve for x
    x = 1,962,619,897.35/50,707.50
  6. Step 6: Final answer
    x = 38,704.73

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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.