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Finding the Fourth Proportional to 31,295.34, 43,187.58 and 17,149.50

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Solution

The fourth proportional to 31,295.34, 43,187.58 and 17,149.50 is: 23,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,295.34 : 43,187.58 = 17,149.50 : x
  2. Step 2: Convert to fraction form
    31,295.34/43,187.58 = 17,149.50/x
  3. Step 3: Cross multiply
    31,295.34x = 43,187.58 × 17,149.50
  4. Step 4: Simplify right side
    31,295.34x = 740,645,403.21
  5. Step 5: Solve for x
    x = 740,645,403.21/31,295.34
  6. Step 6: Final answer
    x = 23,666.32

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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.