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Finding the Fourth Proportional to 76,684.47, 105,815.06 and 44,418.68

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Solution

The fourth proportional to 76,684.47, 105,815.06 and 44,418.68 is: 61,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,684.47 : 105,815.06 = 44,418.68 : x
  2. Step 2: Convert to fraction form
    76,684.47/105,815.06 = 44,418.68/x
  3. Step 3: Cross multiply
    76,684.47x = 105,815.06 × 44,418.68
  4. Step 4: Simplify right side
    76,684.47x = 4,700,165,101.53
  5. Step 5: Solve for x
    x = 4,700,165,101.53/76,684.47
  6. Step 6: Final answer
    x = 61,292.27

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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.