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Finding the Fourth Proportional to 76,211.94, 105,172.54 and 41,756.58

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Solution

The fourth proportional to 76,211.94, 105,172.54 and 41,756.58 is: 57,624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,211.94 : 105,172.54 = 41,756.58 : x
  2. Step 2: Convert to fraction form
    76,211.94/105,172.54 = 41,756.58/x
  3. Step 3: Cross multiply
    76,211.94x = 105,172.54 × 41,756.58
  4. Step 4: Simplify right side
    76,211.94x = 4,391,645,580.31
  5. Step 5: Solve for x
    x = 4,391,645,580.31/76,211.94
  6. Step 6: Final answer
    x = 57,624.11

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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.