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Finding the Fourth Proportional to 82,990.32, 114,526.09 and 47,180.34

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Solution

The fourth proportional to 82,990.32, 114,526.09 and 47,180.34 is: 65,108.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,990.32 : 114,526.09 = 47,180.34 : x
  2. Step 2: Convert to fraction form
    82,990.32/114,526.09 = 47,180.34/x
  3. Step 3: Cross multiply
    82,990.32x = 114,526.09 × 47,180.34
  4. Step 4: Simplify right side
    82,990.32x = 5,403,379,865.07
  5. Step 5: Solve for x
    x = 5,403,379,865.07/82,990.32
  6. Step 6: Final answer
    x = 65,108.56

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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.