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Finding the Fourth Proportional to 31,487.76, 43,453.80 and 17,341.38

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Solution

The fourth proportional to 31,487.76, 43,453.80 and 17,341.38 is: 23,931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,487.76 : 43,453.80 = 17,341.38 : x
  2. Step 2: Convert to fraction form
    31,487.76/43,453.80 = 17,341.38/x
  3. Step 3: Cross multiply
    31,487.76x = 43,453.80 × 17,341.38
  4. Step 4: Simplify right side
    31,487.76x = 753,548,858.24
  5. Step 5: Solve for x
    x = 753,548,858.24/31,487.76
  6. Step 6: Final answer
    x = 23,931.49

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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.