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Finding the Fourth Proportional to 75,255.89, 103,853.93 and 42,994.80

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Solution

The fourth proportional to 75,255.89, 103,853.93 and 42,994.80 is: 59,333.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,255.89 : 103,853.93 = 42,994.80 : x
  2. Step 2: Convert to fraction form
    75,255.89/103,853.93 = 42,994.80/x
  3. Step 3: Cross multiply
    75,255.89x = 103,853.93 × 42,994.80
  4. Step 4: Simplify right side
    75,255.89x = 4,465,178,734.59
  5. Step 5: Solve for x
    x = 4,465,178,734.59/75,255.89
  6. Step 6: Final answer
    x = 59,333.28

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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.