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Finding the Fourth Proportional to 92,241.36, 138,381.48 and 29,907

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Solution

The fourth proportional to 92,241.36, 138,381.48 and 29,907 is: 44,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,241.36 : 138,381.48 = 29,907 : x
  2. Step 2: Convert to fraction form
    92,241.36/138,381.48 = 29,907/x
  3. Step 3: Cross multiply
    92,241.36x = 138,381.48 × 29,907
  4. Step 4: Simplify right side
    92,241.36x = 4,138,574,922.36
  5. Step 5: Solve for x
    x = 4,138,574,922.36/92,241.36
  6. Step 6: Final answer
    x = 44,866.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.