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Finding the Fourth Proportional to 76,758.71, 105,929.94 and 44,494.38

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Solution

The fourth proportional to 76,758.71, 105,929.94 and 44,494.38 is: 61,403.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,758.71 : 105,929.94 = 44,494.38 : x
  2. Step 2: Convert to fraction form
    76,758.71/105,929.94 = 44,494.38/x
  3. Step 3: Cross multiply
    76,758.71x = 105,929.94 × 44,494.38
  4. Step 4: Simplify right side
    76,758.71x = 4,713,287,003.74
  5. Step 5: Solve for x
    x = 4,713,287,003.74/76,758.71
  6. Step 6: Final answer
    x = 61,403.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.