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Finding the Fourth Proportional to 180,644.38, 270,973.86 and 47,538.09

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Solution

The fourth proportional to 180,644.38, 270,973.86 and 47,538.09 is: 71,309.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,644.38 : 270,973.86 = 47,538.09 : x
  2. Step 2: Convert to fraction form
    180,644.38/270,973.86 = 47,538.09/x
  3. Step 3: Cross multiply
    180,644.38x = 270,973.86 × 47,538.09
  4. Step 4: Simplify right side
    180,644.38x = 12,881,579,566.06
  5. Step 5: Solve for x
    x = 12,881,579,566.06/180,644.38
  6. Step 6: Final answer
    x = 71,309.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.