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Finding the Fourth Proportional to 72,938.88, 109,408.35 and 23,024.03

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Solution

The fourth proportional to 72,938.88, 109,408.35 and 23,024.03 is: 34,536.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,938.88 : 109,408.35 = 23,024.03 : x
  2. Step 2: Convert to fraction form
    72,938.88/109,408.35 = 23,024.03/x
  3. Step 3: Cross multiply
    72,938.88x = 109,408.35 × 23,024.03
  4. Step 4: Simplify right side
    72,938.88x = 2,519,020,470.49
  5. Step 5: Solve for x
    x = 2,519,020,470.49/72,938.88
  6. Step 6: Final answer
    x = 34,536.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.