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Finding the Fourth Proportional to 84,973.50, 127,404 and 47,537.49

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Solution

The fourth proportional to 84,973.50, 127,404 and 47,537.49 is: 71,274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,973.50 : 127,404 = 47,537.49 : x
  2. Step 2: Convert to fraction form
    84,973.50/127,404 = 47,537.49/x
  3. Step 3: Cross multiply
    84,973.50x = 127,404 × 47,537.49
  4. Step 4: Simplify right side
    84,973.50x = 6,056,466,375.96
  5. Step 5: Solve for x
    x = 6,056,466,375.96/84,973.50
  6. Step 6: Final answer
    x = 71,274.77

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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.