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Finding the Fourth Proportional to 38,057.64, 57,080.22 and 10,357.80

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Solution

The fourth proportional to 38,057.64, 57,080.22 and 10,357.80 is: 15,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.64 : 57,080.22 = 10,357.80 : x
  2. Step 2: Convert to fraction form
    38,057.64/57,080.22 = 10,357.80/x
  3. Step 3: Cross multiply
    38,057.64x = 57,080.22 × 10,357.80
  4. Step 4: Simplify right side
    38,057.64x = 591,225,502.72
  5. Step 5: Solve for x
    x = 591,225,502.72/38,057.64
  6. Step 6: Final answer
    x = 15,535.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.