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Finding the Fourth Proportional to 89,767.84, 134,674.80 and 27,438.16

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Solution

The fourth proportional to 89,767.84, 134,674.80 and 27,438.16 is: 41,164.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,767.84 : 134,674.80 = 27,438.16 : x
  2. Step 2: Convert to fraction form
    89,767.84/134,674.80 = 27,438.16/x
  3. Step 3: Cross multiply
    89,767.84x = 134,674.80 × 27,438.16
  4. Step 4: Simplify right side
    89,767.84x = 3,695,228,710.37
  5. Step 5: Solve for x
    x = 3,695,228,710.37/89,767.84
  6. Step 6: Final answer
    x = 41,164.28

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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.