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Finding the Fourth Proportional to 76,794.95, 105,978.09 and 42,802.49

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Solution

The fourth proportional to 76,794.95, 105,978.09 and 42,802.49 is: 59,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,794.95 : 105,978.09 = 42,802.49 : x
  2. Step 2: Convert to fraction form
    76,794.95/105,978.09 = 42,802.49/x
  3. Step 3: Cross multiply
    76,794.95x = 105,978.09 × 42,802.49
  4. Step 4: Simplify right side
    76,794.95x = 4,536,126,137.44
  5. Step 5: Solve for x
    x = 4,536,126,137.44/76,794.95
  6. Step 6: Final answer
    x = 59,068.03

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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.