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Finding the Fourth Proportional to 47,412.49, 71,097.70 and 25,220.82

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Solution

The fourth proportional to 47,412.49, 71,097.70 and 25,220.82 is: 37,820.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,412.49 : 71,097.70 = 25,220.82 : x
  2. Step 2: Convert to fraction form
    47,412.49/71,097.70 = 25,220.82/x
  3. Step 3: Cross multiply
    47,412.49x = 71,097.70 × 25,220.82
  4. Step 4: Simplify right side
    47,412.49x = 1,793,142,145.04
  5. Step 5: Solve for x
    x = 1,793,142,145.04/47,412.49
  6. Step 6: Final answer
    x = 37,820.04

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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.