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Finding the Fourth Proportional to 92,245.36, 138,387.48 and 29,911

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Solution

The fourth proportional to 92,245.36, 138,387.48 and 29,911 is: 44,872.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,245.36 : 138,387.48 = 29,911 : x
  2. Step 2: Convert to fraction form
    92,245.36/138,387.48 = 29,911/x
  3. Step 3: Cross multiply
    92,245.36x = 138,387.48 × 29,911
  4. Step 4: Simplify right side
    92,245.36x = 4,139,307,914.28
  5. Step 5: Solve for x
    x = 4,139,307,914.28/92,245.36
  6. Step 6: Final answer
    x = 44,872.80

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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.