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Finding the Fourth Proportional to 50,978.34, 70,352.09 and 28,319.06

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Solution

The fourth proportional to 50,978.34, 70,352.09 and 28,319.06 is: 39,081.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,978.34 : 70,352.09 = 28,319.06 : x
  2. Step 2: Convert to fraction form
    50,978.34/70,352.09 = 28,319.06/x
  3. Step 3: Cross multiply
    50,978.34x = 70,352.09 × 28,319.06
  4. Step 4: Simplify right side
    50,978.34x = 1,992,304,564.48
  5. Step 5: Solve for x
    x = 1,992,304,564.48/50,978.34
  6. Step 6: Final answer
    x = 39,081.39

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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.