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Finding the Fourth Proportional to 53,894.98, 80,822.76 and 20,598.58

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Solution

The fourth proportional to 53,894.98, 80,822.76 and 20,598.58 is: 30,890.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,894.98 : 80,822.76 = 20,598.58 : x
  2. Step 2: Convert to fraction form
    53,894.98/80,822.76 = 20,598.58/x
  3. Step 3: Cross multiply
    53,894.98x = 80,822.76 × 20,598.58
  4. Step 4: Simplify right side
    53,894.98x = 1,664,834,087.68
  5. Step 5: Solve for x
    x = 1,664,834,087.68/53,894.98
  6. Step 6: Final answer
    x = 30,890.34

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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.