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Finding the Fourth Proportional to 61,829.21, 85,324.32 and 34,971.15

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Solution

The fourth proportional to 61,829.21, 85,324.32 and 34,971.15 is: 48,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,829.21 : 85,324.32 = 34,971.15 : x
  2. Step 2: Convert to fraction form
    61,829.21/85,324.32 = 34,971.15/x
  3. Step 3: Cross multiply
    61,829.21x = 85,324.32 × 34,971.15
  4. Step 4: Simplify right side
    61,829.21x = 2,983,889,593.37
  5. Step 5: Solve for x
    x = 2,983,889,593.37/61,829.21
  6. Step 6: Final answer
    x = 48,260.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.