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Finding the Fourth Proportional to 76,507.94, 114,717.74 and 29,706.14

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Solution

The fourth proportional to 76,507.94, 114,717.74 and 29,706.14 is: 44,542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,507.94 : 114,717.74 = 29,706.14 : x
  2. Step 2: Convert to fraction form
    76,507.94/114,717.74 = 29,706.14/x
  3. Step 3: Cross multiply
    76,507.94x = 114,717.74 × 29,706.14
  4. Step 4: Simplify right side
    76,507.94x = 3,407,821,244.92
  5. Step 5: Solve for x
    x = 3,407,821,244.92/76,507.94
  6. Step 6: Final answer
    x = 44,542.06

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Why These Related Problems?

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