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Finding the Fourth Proportional to 47,645.07, 71,372.31 and 28,659.22

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Solution

The fourth proportional to 47,645.07, 71,372.31 and 28,659.22 is: 42,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,645.07 : 71,372.31 = 28,659.22 : x
  2. Step 2: Convert to fraction form
    47,645.07/71,372.31 = 28,659.22/x
  3. Step 3: Cross multiply
    47,645.07x = 71,372.31 × 28,659.22
  4. Step 4: Simplify right side
    47,645.07x = 2,045,474,448.30
  5. Step 5: Solve for x
    x = 2,045,474,448.30/47,645.07
  6. Step 6: Final answer
    x = 42,931.50

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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.