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Finding the Fourth Proportional to 76,214.46, 105,107.40 and 49,328.94

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Solution

The fourth proportional to 76,214.46, 105,107.40 and 49,328.94 is: 68,029.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,214.46 : 105,107.40 = 49,328.94 : x
  2. Step 2: Convert to fraction form
    76,214.46/105,107.40 = 49,328.94/x
  3. Step 3: Cross multiply
    76,214.46x = 105,107.40 × 49,328.94
  4. Step 4: Simplify right side
    76,214.46x = 5,184,836,628.16
  5. Step 5: Solve for x
    x = 5,184,836,628.16/76,214.46
  6. Step 6: Final answer
    x = 68,029.57

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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.