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Finding the Fourth Proportional to 76,694.84, 105,829.44 and 42,694.82

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Solution

The fourth proportional to 76,694.84, 105,829.44 and 42,694.82 is: 58,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,694.84 : 105,829.44 = 42,694.82 : x
  2. Step 2: Convert to fraction form
    76,694.84/105,829.44 = 42,694.82/x
  3. Step 3: Cross multiply
    76,694.84x = 105,829.44 × 42,694.82
  4. Step 4: Simplify right side
    76,694.84x = 4,518,368,891.50
  5. Step 5: Solve for x
    x = 4,518,368,891.50/76,694.84
  6. Step 6: Final answer
    x = 58,913.60

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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.