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Finding the Fourth Proportional to 70,497.75, 105,766.89 and 34,969.95

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Solution

The fourth proportional to 70,497.75, 105,766.89 and 34,969.95 is: 52,464.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,497.75 : 105,766.89 = 34,969.95 : x
  2. Step 2: Convert to fraction form
    70,497.75/105,766.89 = 34,969.95/x
  3. Step 3: Cross multiply
    70,497.75x = 105,766.89 × 34,969.95
  4. Step 4: Simplify right side
    70,497.75x = 3,698,662,854.96
  5. Step 5: Solve for x
    x = 3,698,662,854.96/70,497.75
  6. Step 6: Final answer
    x = 52,464.98

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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.