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Finding the Fourth Proportional to 53,408.03, 73,702.96 and 30,738.75

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Solution

The fourth proportional to 53,408.03, 73,702.96 and 30,738.75 is: 42,419.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,408.03 : 73,702.96 = 30,738.75 : x
  2. Step 2: Convert to fraction form
    53,408.03/73,702.96 = 30,738.75/x
  3. Step 3: Cross multiply
    53,408.03x = 73,702.96 × 30,738.75
  4. Step 4: Simplify right side
    53,408.03x = 2,265,536,784.85
  5. Step 5: Solve for x
    x = 2,265,536,784.85/53,408.03
  6. Step 6: Final answer
    x = 42,419.40

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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.