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Finding the Fourth Proportional to 26,495.40, 36,542.34 and 23,301.80

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Solution

The fourth proportional to 26,495.40, 36,542.34 and 23,301.80 is: 32,137.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,495.40 : 36,542.34 = 23,301.80 : x
  2. Step 2: Convert to fraction form
    26,495.40/36,542.34 = 23,301.80/x
  3. Step 3: Cross multiply
    26,495.40x = 36,542.34 × 23,301.80
  4. Step 4: Simplify right side
    26,495.40x = 851,502,298.21
  5. Step 5: Solve for x
    x = 851,502,298.21/26,495.40
  6. Step 6: Final answer
    x = 32,137.74

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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.