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Finding the Fourth Proportional to 82,423.12, 113,743.96 and 44,697.36

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Solution

The fourth proportional to 82,423.12, 113,743.96 and 44,697.36 is: 61,682.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,423.12 : 113,743.96 = 44,697.36 : x
  2. Step 2: Convert to fraction form
    82,423.12/113,743.96 = 44,697.36/x
  3. Step 3: Cross multiply
    82,423.12x = 113,743.96 × 44,697.36
  4. Step 4: Simplify right side
    82,423.12x = 5,084,054,727.95
  5. Step 5: Solve for x
    x = 5,084,054,727.95/82,423.12
  6. Step 6: Final answer
    x = 61,682.39

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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.