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Finding the Fourth Proportional to 94,380.32, 130,234.02 and 54,083

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Solution

The fourth proportional to 94,380.32, 130,234.02 and 54,083 is: 74,628.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,380.32 : 130,234.02 = 54,083 : x
  2. Step 2: Convert to fraction form
    94,380.32/130,234.02 = 54,083/x
  3. Step 3: Cross multiply
    94,380.32x = 130,234.02 × 54,083
  4. Step 4: Simplify right side
    94,380.32x = 7,043,446,503.66
  5. Step 5: Solve for x
    x = 7,043,446,503.66/94,380.32
  6. Step 6: Final answer
    x = 74,628.34

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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.