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Finding the Fourth Proportional to 53,397, 80,101.98 and 16,461

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Solution

The fourth proportional to 53,397, 80,101.98 and 16,461 is: 24,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,397 : 80,101.98 = 16,461 : x
  2. Step 2: Convert to fraction form
    53,397/80,101.98 = 16,461/x
  3. Step 3: Cross multiply
    53,397x = 80,101.98 × 16,461
  4. Step 4: Simplify right side
    53,397x = 1,318,558,692.78
  5. Step 5: Solve for x
    x = 1,318,558,692.78/53,397
  6. Step 6: Final answer
    x = 24,693.50

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Why These Related Problems?

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