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Finding the Fourth Proportional to 53,103.78, 73,274.64 and 30,438.60

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Solution

The fourth proportional to 53,103.78, 73,274.64 and 30,438.60 is: 42,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,103.78 : 73,274.64 = 30,438.60 : x
  2. Step 2: Convert to fraction form
    53,103.78/73,274.64 = 30,438.60/x
  3. Step 3: Cross multiply
    53,103.78x = 73,274.64 × 30,438.60
  4. Step 4: Simplify right side
    53,103.78x = 2,230,377,214.03
  5. Step 5: Solve for x
    x = 2,230,377,214.03/53,103.78
  6. Step 6: Final answer
    x = 42,000.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.