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Finding the Fourth Proportional to 76,065.60, 104,935.61 and 49,216.86

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Solution

The fourth proportional to 76,065.60, 104,935.61 and 49,216.86 is: 67,896.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,065.60 : 104,935.61 = 49,216.86 : x
  2. Step 2: Convert to fraction form
    76,065.60/104,935.61 = 49,216.86/x
  3. Step 3: Cross multiply
    76,065.60x = 104,935.61 × 49,216.86
  4. Step 4: Simplify right side
    76,065.60x = 5,164,600,980.30
  5. Step 5: Solve for x
    x = 5,164,600,980.30/76,065.60
  6. Step 6: Final answer
    x = 67,896.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.