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Finding the Fourth Proportional to 76,204.39, 105,213.40 and 47,567.65

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Solution

The fourth proportional to 76,204.39, 105,213.40 and 47,567.65 is: 65,675.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,204.39 : 105,213.40 = 47,567.65 : x
  2. Step 2: Convert to fraction form
    76,204.39/105,213.40 = 47,567.65/x
  3. Step 3: Cross multiply
    76,204.39x = 105,213.40 × 47,567.65
  4. Step 4: Simplify right side
    76,204.39x = 5,004,753,422.60
  5. Step 5: Solve for x
    x = 5,004,753,422.60/76,204.39
  6. Step 6: Final answer
    x = 65,675.40

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