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Finding the Fourth Proportional to 76,859.89, 106,048.59 and 46,644.54

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Solution

The fourth proportional to 76,859.89, 106,048.59 and 46,644.54 is: 64,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,859.89 : 106,048.59 = 46,644.54 : x
  2. Step 2: Convert to fraction form
    76,859.89/106,048.59 = 46,644.54/x
  3. Step 3: Cross multiply
    76,859.89x = 106,048.59 × 46,644.54
  4. Step 4: Simplify right side
    76,859.89x = 4,946,587,698.20
  5. Step 5: Solve for x
    x = 4,946,587,698.20/76,859.89
  6. Step 6: Final answer
    x = 64,358.51

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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.