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Finding the Fourth Proportional to 38,072.17, 52,541 and 20,845.74

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Solution

The fourth proportional to 38,072.17, 52,541 and 20,845.74 is: 28,767.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,072.17 : 52,541 = 20,845.74 : x
  2. Step 2: Convert to fraction form
    38,072.17/52,541 = 20,845.74/x
  3. Step 3: Cross multiply
    38,072.17x = 52,541 × 20,845.74
  4. Step 4: Simplify right side
    38,072.17x = 1,095,256,025.34
  5. Step 5: Solve for x
    x = 1,095,256,025.34/38,072.17
  6. Step 6: Final answer
    x = 28,767.89

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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.