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Finding the Fourth Proportional to 76,069.26, 104,967.51 and 42,072.35

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Solution

The fourth proportional to 76,069.26, 104,967.51 and 42,072.35 is: 58,055.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,069.26 : 104,967.51 = 42,072.35 : x
  2. Step 2: Convert to fraction form
    76,069.26/104,967.51 = 42,072.35/x
  3. Step 3: Cross multiply
    76,069.26x = 104,967.51 × 42,072.35
  4. Step 4: Simplify right side
    76,069.26x = 4,416,229,819.35
  5. Step 5: Solve for x
    x = 4,416,229,819.35/76,069.26
  6. Step 6: Final answer
    x = 58,055.38

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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.