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Finding the Fourth Proportional to 78,385.63, 108,172.48 and 42,576.24

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Solution

The fourth proportional to 78,385.63, 108,172.48 and 42,576.24 is: 58,755.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,385.63 : 108,172.48 = 42,576.24 : x
  2. Step 2: Convert to fraction form
    78,385.63/108,172.48 = 42,576.24/x
  3. Step 3: Cross multiply
    78,385.63x = 108,172.48 × 42,576.24
  4. Step 4: Simplify right side
    78,385.63x = 4,605,577,469.88
  5. Step 5: Solve for x
    x = 4,605,577,469.88/78,385.63
  6. Step 6: Final answer
    x = 58,755.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.