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Finding the Fourth Proportional to 39,760.62, 59,640.84 and 10,178.46

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Solution

The fourth proportional to 39,760.62, 59,640.84 and 10,178.46 is: 15,267.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,760.62 : 59,640.84 = 10,178.46 : x
  2. Step 2: Convert to fraction form
    39,760.62/59,640.84 = 10,178.46/x
  3. Step 3: Cross multiply
    39,760.62x = 59,640.84 × 10,178.46
  4. Step 4: Simplify right side
    39,760.62x = 607,051,904.31
  5. Step 5: Solve for x
    x = 607,051,904.31/39,760.62
  6. Step 6: Final answer
    x = 15,267.67

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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.