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Finding the Fourth Proportional to 53,580.50, 80,362.85 and 14,140.38

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Solution

The fourth proportional to 53,580.50, 80,362.85 and 14,140.38 is: 21,208.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,580.50 : 80,362.85 = 14,140.38 : x
  2. Step 2: Convert to fraction form
    53,580.50/80,362.85 = 14,140.38/x
  3. Step 3: Cross multiply
    53,580.50x = 80,362.85 × 14,140.38
  4. Step 4: Simplify right side
    53,580.50x = 1,136,361,166.18
  5. Step 5: Solve for x
    x = 1,136,361,166.18/53,580.50
  6. Step 6: Final answer
    x = 21,208.49

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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.