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Finding the Fourth Proportional to 82,991.32, 114,527.47 and 47,181.34

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Solution

The fourth proportional to 82,991.32, 114,527.47 and 47,181.34 is: 65,109.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,991.32 : 114,527.47 = 47,181.34 : x
  2. Step 2: Convert to fraction form
    82,991.32/114,527.47 = 47,181.34/x
  3. Step 3: Cross multiply
    82,991.32x = 114,527.47 × 47,181.34
  4. Step 4: Simplify right side
    82,991.32x = 5,403,559,501.41
  5. Step 5: Solve for x
    x = 5,403,559,501.41/82,991.32
  6. Step 6: Final answer
    x = 65,109.94

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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.