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Finding the Fourth Proportional to 38,419.93, 57,629.90 and 10,340.05

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Solution

The fourth proportional to 38,419.93, 57,629.90 and 10,340.05 is: 15,510.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,419.93 : 57,629.90 = 10,340.05 : x
  2. Step 2: Convert to fraction form
    38,419.93/57,629.90 = 10,340.05/x
  3. Step 3: Cross multiply
    38,419.93x = 57,629.90 × 10,340.05
  4. Step 4: Simplify right side
    38,419.93x = 595,895,890.50
  5. Step 5: Solve for x
    x = 595,895,890.50/38,419.93
  6. Step 6: Final answer
    x = 15,510.07

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Why These Related Problems?

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