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Finding the Fourth Proportional to 97,754.94, 146,645.10 and 27,635.94

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Solution

The fourth proportional to 97,754.94, 146,645.10 and 27,635.94 is: 41,457.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,754.94 : 146,645.10 = 27,635.94 : x
  2. Step 2: Convert to fraction form
    97,754.94/146,645.10 = 27,635.94/x
  3. Step 3: Cross multiply
    97,754.94x = 146,645.10 × 27,635.94
  4. Step 4: Simplify right side
    97,754.94x = 4,052,675,184.89
  5. Step 5: Solve for x
    x = 4,052,675,184.89/97,754.94
  6. Step 6: Final answer
    x = 41,457.50

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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.