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Finding the Fourth Proportional to 76,511.96, 114,763.48 and 34,381.16

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Solution

The fourth proportional to 76,511.96, 114,763.48 and 34,381.16 is: 51,569.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,511.96 : 114,763.48 = 34,381.16 : x
  2. Step 2: Convert to fraction form
    76,511.96/114,763.48 = 34,381.16/x
  3. Step 3: Cross multiply
    76,511.96x = 114,763.48 × 34,381.16
  4. Step 4: Simplify right side
    76,511.96x = 3,945,701,568.04
  5. Step 5: Solve for x
    x = 3,945,701,568.04/76,511.96
  6. Step 6: Final answer
    x = 51,569.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.