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Finding the Fourth Proportional to 58,493.09, 80,720.46 and 31,635.60

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Solution

The fourth proportional to 58,493.09, 80,720.46 and 31,635.60 is: 43,657.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,493.09 : 80,720.46 = 31,635.60 : x
  2. Step 2: Convert to fraction form
    58,493.09/80,720.46 = 31,635.60/x
  3. Step 3: Cross multiply
    58,493.09x = 80,720.46 × 31,635.60
  4. Step 4: Simplify right side
    58,493.09x = 2,553,640,184.38
  5. Step 5: Solve for x
    x = 2,553,640,184.38/58,493.09
  6. Step 6: Final answer
    x = 43,657.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.