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Finding the Fourth Proportional to 38,057.99, 57,085.61 and 9,977.82

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Solution

The fourth proportional to 38,057.99, 57,085.61 and 9,977.82 is: 14,966.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.99 : 57,085.61 = 9,977.82 : x
  2. Step 2: Convert to fraction form
    38,057.99/57,085.61 = 9,977.82/x
  3. Step 3: Cross multiply
    38,057.99x = 57,085.61 × 9,977.82
  4. Step 4: Simplify right side
    38,057.99x = 569,589,941.17
  5. Step 5: Solve for x
    x = 569,589,941.17/38,057.99
  6. Step 6: Final answer
    x = 14,966.37

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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.