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Finding the Fourth Proportional to 78,987.98, 109,003.38 and 43,178.13

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Solution

The fourth proportional to 78,987.98, 109,003.38 and 43,178.13 is: 59,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,987.98 : 109,003.38 = 43,178.13 : x
  2. Step 2: Convert to fraction form
    78,987.98/109,003.38 = 43,178.13/x
  3. Step 3: Cross multiply
    78,987.98x = 109,003.38 × 43,178.13
  4. Step 4: Simplify right side
    78,987.98x = 4,706,562,112.08
  5. Step 5: Solve for x
    x = 4,706,562,112.08/78,987.98
  6. Step 6: Final answer
    x = 59,585.81

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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.