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Finding the Fourth Proportional to 92,457, 138,662.30 and 25,879.88

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Solution

The fourth proportional to 92,457, 138,662.30 and 25,879.88 is: 38,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,457 : 138,662.30 = 25,879.88 : x
  2. Step 2: Convert to fraction form
    92,457/138,662.30 = 25,879.88/x
  3. Step 3: Cross multiply
    92,457x = 138,662.30 × 25,879.88
  4. Step 4: Simplify right side
    92,457x = 3,588,563,684.52
  5. Step 5: Solve for x
    x = 3,588,563,684.52/92,457
  6. Step 6: Final answer
    x = 38,813.33

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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.