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Finding the Fourth Proportional to 61,339.96, 84,663.66 and 38,971

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Solution

The fourth proportional to 61,339.96, 84,663.66 and 38,971 is: 53,789.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,339.96 : 84,663.66 = 38,971 : x
  2. Step 2: Convert to fraction form
    61,339.96/84,663.66 = 38,971/x
  3. Step 3: Cross multiply
    61,339.96x = 84,663.66 × 38,971
  4. Step 4: Simplify right side
    61,339.96x = 3,299,427,493.86
  5. Step 5: Solve for x
    x = 3,299,427,493.86/61,339.96
  6. Step 6: Final answer
    x = 53,789.20

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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.