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Finding the Fourth Proportional to 81,898.56, 122,865.30 and 46,376.52

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Solution

The fourth proportional to 81,898.56, 122,865.30 and 46,376.52 is: 69,574.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,898.56 : 122,865.30 = 46,376.52 : x
  2. Step 2: Convert to fraction form
    81,898.56/122,865.30 = 46,376.52/x
  3. Step 3: Cross multiply
    81,898.56x = 122,865.30 × 46,376.52
  4. Step 4: Simplify right side
    81,898.56x = 5,698,065,042.76
  5. Step 5: Solve for x
    x = 5,698,065,042.76/81,898.56
  6. Step 6: Final answer
    x = 69,574.67

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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.