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Finding the Fourth Proportional to 72,852, 109,278 and 23,604

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Solution

The fourth proportional to 72,852, 109,278 and 23,604 is: 35,406

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,852 : 109,278 = 23,604 : x
  2. Step 2: Convert to fraction form
    72,852/109,278 = 23,604/x
  3. Step 3: Cross multiply
    72,852x = 109,278 × 23,604
  4. Step 4: Simplify right side
    72,852x = 2,579,397,912
  5. Step 5: Solve for x
    x = 2,579,397,912/72,852
  6. Step 6: Final answer
    x = 35,406

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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.