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Finding the Fourth Proportional to 77,912.34, 116,749.57 and 46,260.07

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Solution

The fourth proportional to 77,912.34, 116,749.57 and 46,260.07 is: 69,319.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,912.34 : 116,749.57 = 46,260.07 : x
  2. Step 2: Convert to fraction form
    77,912.34/116,749.57 = 46,260.07/x
  3. Step 3: Cross multiply
    77,912.34x = 116,749.57 × 46,260.07
  4. Step 4: Simplify right side
    77,912.34x = 5,400,843,280.67
  5. Step 5: Solve for x
    x = 5,400,843,280.67/77,912.34
  6. Step 6: Final answer
    x = 69,319.48

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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.