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Finding the Fourth Proportional to 76,641.68, 115,682.37 and 76,641.68

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Solution

The fourth proportional to 76,641.68, 115,682.37 and 76,641.68 is: 115,682.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,641.68 : 115,682.37 = 76,641.68 : x
  2. Step 2: Convert to fraction form
    76,641.68/115,682.37 = 76,641.68/x
  3. Step 3: Cross multiply
    76,641.68x = 115,682.37 × 76,641.68
  4. Step 4: Simplify right side
    76,641.68x = 8,866,091,472.39
  5. Step 5: Solve for x
    x = 8,866,091,472.39/76,641.68
  6. Step 6: Final answer
    x = 115,682.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.