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Finding the Fourth Proportional to 75,296.32, 103,927.68 and 43,484.48

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Solution

The fourth proportional to 75,296.32, 103,927.68 and 43,484.48 is: 60,019.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,296.32 : 103,927.68 = 43,484.48 : x
  2. Step 2: Convert to fraction form
    75,296.32/103,927.68 = 43,484.48/x
  3. Step 3: Cross multiply
    75,296.32x = 103,927.68 × 43,484.48
  4. Step 4: Simplify right side
    75,296.32x = 4,519,241,122.41
  5. Step 5: Solve for x
    x = 4,519,241,122.41/75,296.32
  6. Step 6: Final answer
    x = 60,019.42

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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.