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Finding the Fourth Proportional to 30,913.67, 42,614.36 and 24,187.62

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Solution

The fourth proportional to 30,913.67, 42,614.36 and 24,187.62 is: 33,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.67 : 42,614.36 = 24,187.62 : x
  2. Step 2: Convert to fraction form
    30,913.67/42,614.36 = 24,187.62/x
  3. Step 3: Cross multiply
    30,913.67x = 42,614.36 × 24,187.62
  4. Step 4: Simplify right side
    30,913.67x = 1,030,739,946.22
  5. Step 5: Solve for x
    x = 1,030,739,946.22/30,913.67
  6. Step 6: Final answer
    x = 33,342.53

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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.