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Finding the Fourth Proportional to 53,338, 80,019.96 and 16,402

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Solution

The fourth proportional to 53,338, 80,019.96 and 16,402 is: 24,606.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,338 : 80,019.96 = 16,402 : x
  2. Step 2: Convert to fraction form
    53,338/80,019.96 = 16,402/x
  3. Step 3: Cross multiply
    53,338x = 80,019.96 × 16,402
  4. Step 4: Simplify right side
    53,338x = 1,312,487,383.92
  5. Step 5: Solve for x
    x = 1,312,487,383.92/53,338
  6. Step 6: Final answer
    x = 24,606.99

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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.