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Finding the Fourth Proportional to 53,214.76, 79,822.14 and 21,628

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Solution

The fourth proportional to 53,214.76, 79,822.14 and 21,628 is: 32,442

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,214.76 : 79,822.14 = 21,628 : x
  2. Step 2: Convert to fraction form
    53,214.76/79,822.14 = 21,628/x
  3. Step 3: Cross multiply
    53,214.76x = 79,822.14 × 21,628
  4. Step 4: Simplify right side
    53,214.76x = 1,726,393,243.92
  5. Step 5: Solve for x
    x = 1,726,393,243.92/53,214.76
  6. Step 6: Final answer
    x = 32,442

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.