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Finding the Fourth Proportional to 94,859.76, 130,914.24 and 52,419

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Solution

The fourth proportional to 94,859.76, 130,914.24 and 52,419 is: 72,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,859.76 : 130,914.24 = 52,419 : x
  2. Step 2: Convert to fraction form
    94,859.76/130,914.24 = 52,419/x
  3. Step 3: Cross multiply
    94,859.76x = 130,914.24 × 52,419
  4. Step 4: Simplify right side
    94,859.76x = 6,862,393,546.56
  5. Step 5: Solve for x
    x = 6,862,393,546.56/94,859.76
  6. Step 6: Final answer
    x = 72,342.51

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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.