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Finding the Fourth Proportional to 50,681.96, 69,938.34 and 28,019.60

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Solution

The fourth proportional to 50,681.96, 69,938.34 and 28,019.60 is: 38,665.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,681.96 : 69,938.34 = 28,019.60 : x
  2. Step 2: Convert to fraction form
    50,681.96/69,938.34 = 28,019.60/x
  3. Step 3: Cross multiply
    50,681.96x = 69,938.34 × 28,019.60
  4. Step 4: Simplify right side
    50,681.96x = 1,959,644,311.46
  5. Step 5: Solve for x
    x = 1,959,644,311.46/50,681.96
  6. Step 6: Final answer
    x = 38,665.52

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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.