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Finding the Fourth Proportional to 82,967.09, 114,494.37 and 45,241.34

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Solution

The fourth proportional to 82,967.09, 114,494.37 and 45,241.34 is: 62,432.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,967.09 : 114,494.37 = 45,241.34 : x
  2. Step 2: Convert to fraction form
    82,967.09/114,494.37 = 45,241.34/x
  3. Step 3: Cross multiply
    82,967.09x = 114,494.37 × 45,241.34
  4. Step 4: Simplify right side
    82,967.09x = 5,179,878,834.36
  5. Step 5: Solve for x
    x = 5,179,878,834.36/82,967.09
  6. Step 6: Final answer
    x = 62,432.93

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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.