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Finding the Fourth Proportional to 84,005.84, 125,965 and 39,620.67

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Solution

The fourth proportional to 84,005.84, 125,965 and 39,620.67 is: 59,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,005.84 : 125,965 = 39,620.67 : x
  2. Step 2: Convert to fraction form
    84,005.84/125,965 = 39,620.67/x
  3. Step 3: Cross multiply
    84,005.84x = 125,965 × 39,620.67
  4. Step 4: Simplify right side
    84,005.84x = 4,990,817,696.55
  5. Step 5: Solve for x
    x = 4,990,817,696.55/84,005.84
  6. Step 6: Final answer
    x = 59,410.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.