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Finding the Fourth Proportional to 73,278, 109,851.84 and 26,520.48

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Solution

The fourth proportional to 73,278, 109,851.84 and 26,520.48 is: 39,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,278 : 109,851.84 = 26,520.48 : x
  2. Step 2: Convert to fraction form
    73,278/109,851.84 = 26,520.48/x
  3. Step 3: Cross multiply
    73,278x = 109,851.84 × 26,520.48
  4. Step 4: Simplify right side
    73,278x = 2,913,323,525.68
  5. Step 5: Solve for x
    x = 2,913,323,525.68/73,278
  6. Step 6: Final answer
    x = 39,757.14

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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.