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Finding the Fourth Proportional to 50,938.91, 70,295.14 and 28,277.34

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Solution

The fourth proportional to 50,938.91, 70,295.14 and 28,277.34 is: 39,022.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,938.91 : 70,295.14 = 28,277.34 : x
  2. Step 2: Convert to fraction form
    50,938.91/70,295.14 = 28,277.34/x
  3. Step 3: Cross multiply
    50,938.91x = 70,295.14 × 28,277.34
  4. Step 4: Simplify right side
    50,938.91x = 1,987,759,345.87
  5. Step 5: Solve for x
    x = 1,987,759,345.87/50,938.91
  6. Step 6: Final answer
    x = 39,022.42

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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.