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Finding the Fourth Proportional to 89,106, 122,966.28 and 53,297.52

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Solution

The fourth proportional to 89,106, 122,966.28 and 53,297.52 is: 73,550.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,106 : 122,966.28 = 53,297.52 : x
  2. Step 2: Convert to fraction form
    89,106/122,966.28 = 53,297.52/x
  3. Step 3: Cross multiply
    89,106x = 122,966.28 × 53,297.52
  4. Step 4: Simplify right side
    89,106x = 6,553,797,767.63
  5. Step 5: Solve for x
    x = 6,553,797,767.63/89,106
  6. Step 6: Final answer
    x = 73,550.58

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