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Finding the Fourth Proportional to 38,201.35, 57,302.41 and 11,547.55

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Solution

The fourth proportional to 38,201.35, 57,302.41 and 11,547.55 is: 17,321.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,201.35 : 57,302.41 = 11,547.55 : x
  2. Step 2: Convert to fraction form
    38,201.35/57,302.41 = 11,547.55/x
  3. Step 3: Cross multiply
    38,201.35x = 57,302.41 × 11,547.55
  4. Step 4: Simplify right side
    38,201.35x = 661,702,444.60
  5. Step 5: Solve for x
    x = 661,702,444.60/38,201.35
  6. Step 6: Final answer
    x = 17,321.44

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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.