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Finding the Fourth Proportional to 76,738.89, 105,916.01 and 51,573.81

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Solution

The fourth proportional to 76,738.89, 105,916.01 and 51,573.81 is: 71,182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,738.89 : 105,916.01 = 51,573.81 : x
  2. Step 2: Convert to fraction form
    76,738.89/105,916.01 = 51,573.81/x
  3. Step 3: Cross multiply
    76,738.89x = 105,916.01 × 51,573.81
  4. Step 4: Simplify right side
    76,738.89x = 5,462,492,175.70
  5. Step 5: Solve for x
    x = 5,462,492,175.70/76,738.89
  6. Step 6: Final answer
    x = 71,182.84

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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.