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Finding the Fourth Proportional to 64,883.84, 97,338.74 and 27,443.75

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Solution

The fourth proportional to 64,883.84, 97,338.74 and 27,443.75 is: 41,171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,883.84 : 97,338.74 = 27,443.75 : x
  2. Step 2: Convert to fraction form
    64,883.84/97,338.74 = 27,443.75/x
  3. Step 3: Cross multiply
    64,883.84x = 97,338.74 × 27,443.75
  4. Step 4: Simplify right side
    64,883.84x = 2,671,339,421.96
  5. Step 5: Solve for x
    x = 2,671,339,421.96/64,883.84
  6. Step 6: Final answer
    x = 41,171.11

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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.