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Finding the Fourth Proportional to 39,460, 54,456.42 and 22,693

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Solution

The fourth proportional to 39,460, 54,456.42 and 22,693 is: 31,317.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,460 : 54,456.42 = 22,693 : x
  2. Step 2: Convert to fraction form
    39,460/54,456.42 = 22,693/x
  3. Step 3: Cross multiply
    39,460x = 54,456.42 × 22,693
  4. Step 4: Simplify right side
    39,460x = 1,235,779,539.06
  5. Step 5: Solve for x
    x = 1,235,779,539.06/39,460
  6. Step 6: Final answer
    x = 31,317.27

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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.