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Finding the Fourth Proportional to 76,046.80, 104,970.72 and 44,225.68

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Solution

The fourth proportional to 76,046.80, 104,970.72 and 44,225.68 is: 61,046.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,046.80 : 104,970.72 = 44,225.68 : x
  2. Step 2: Convert to fraction form
    76,046.80/104,970.72 = 44,225.68/x
  3. Step 3: Cross multiply
    76,046.80x = 104,970.72 × 44,225.68
  4. Step 4: Simplify right side
    76,046.80x = 4,642,401,472.09
  5. Step 5: Solve for x
    x = 4,642,401,472.09/76,046.80
  6. Step 6: Final answer
    x = 61,046.64

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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.