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Finding the Fourth Proportional to 89,097.99, 122,955.21 and 53,288

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Solution

The fourth proportional to 89,097.99, 122,955.21 and 53,288 is: 73,537.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,097.99 : 122,955.21 = 53,288 : x
  2. Step 2: Convert to fraction form
    89,097.99/122,955.21 = 53,288/x
  3. Step 3: Cross multiply
    89,097.99x = 122,955.21 × 53,288
  4. Step 4: Simplify right side
    89,097.99x = 6,552,037,230.48
  5. Step 5: Solve for x
    x = 6,552,037,230.48/89,097.99
  6. Step 6: Final answer
    x = 73,537.43

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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.