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Finding the Fourth Proportional to 78,943.41, 109,014.66 and 50,698.31

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Solution

The fourth proportional to 78,943.41, 109,014.66 and 50,698.31 is: 70,010.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,943.41 : 109,014.66 = 50,698.31 : x
  2. Step 2: Convert to fraction form
    78,943.41/109,014.66 = 50,698.31/x
  3. Step 3: Cross multiply
    78,943.41x = 109,014.66 × 50,698.31
  4. Step 4: Simplify right side
    78,943.41x = 5,526,858,482.15
  5. Step 5: Solve for x
    x = 5,526,858,482.15/78,943.41
  6. Step 6: Final answer
    x = 70,010.38

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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.