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Finding the Fourth Proportional to 59,398, 81,969.24 and 35,524.67

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Solution

The fourth proportional to 59,398, 81,969.24 and 35,524.67 is: 49,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,398 : 81,969.24 = 35,524.67 : x
  2. Step 2: Convert to fraction form
    59,398/81,969.24 = 35,524.67/x
  3. Step 3: Cross multiply
    59,398x = 81,969.24 × 35,524.67
  4. Step 4: Simplify right side
    59,398x = 2,911,930,201.15
  5. Step 5: Solve for x
    x = 2,911,930,201.15/59,398
  6. Step 6: Final answer
    x = 49,024.04

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Why These Related Problems?

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