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Finding the Fourth Proportional to 41,154.58, 61,725.54 and 13,071

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Solution

The fourth proportional to 41,154.58, 61,725.54 and 13,071 is: 19,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,154.58 : 61,725.54 = 13,071 : x
  2. Step 2: Convert to fraction form
    41,154.58/61,725.54 = 13,071/x
  3. Step 3: Cross multiply
    41,154.58x = 61,725.54 × 13,071
  4. Step 4: Simplify right side
    41,154.58x = 806,814,533.34
  5. Step 5: Solve for x
    x = 806,814,533.34/41,154.58
  6. Step 6: Final answer
    x = 19,604.49

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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.