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Finding the Fourth Proportional to 38,102.48, 52,581 and 21,971.60

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Solution

The fourth proportional to 38,102.48, 52,581 and 21,971.60 is: 30,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,102.48 : 52,581 = 21,971.60 : x
  2. Step 2: Convert to fraction form
    38,102.48/52,581 = 21,971.60/x
  3. Step 3: Cross multiply
    38,102.48x = 52,581 × 21,971.60
  4. Step 4: Simplify right side
    38,102.48x = 1,155,288,699.60
  5. Step 5: Solve for x
    x = 1,155,288,699.60/38,102.48
  6. Step 6: Final answer
    x = 30,320.56

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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.