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Finding the Fourth Proportional to 78,706.43, 118,094.54 and 41,257.56

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Solution

The fourth proportional to 78,706.43, 118,094.54 and 41,257.56 is: 61,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,706.43 : 118,094.54 = 41,257.56 : x
  2. Step 2: Convert to fraction form
    78,706.43/118,094.54 = 41,257.56/x
  3. Step 3: Cross multiply
    78,706.43x = 118,094.54 × 41,257.56
  4. Step 4: Simplify right side
    78,706.43x = 4,872,292,363.43
  5. Step 5: Solve for x
    x = 4,872,292,363.43/78,706.43
  6. Step 6: Final answer
    x = 61,904.63

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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.