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Finding the Fourth Proportional to 53,543.16, 80,318.69 and 14,100

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Solution

The fourth proportional to 53,543.16, 80,318.69 and 14,100 is: 21,151.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,543.16 : 80,318.69 = 14,100 : x
  2. Step 2: Convert to fraction form
    53,543.16/80,318.69 = 14,100/x
  3. Step 3: Cross multiply
    53,543.16x = 80,318.69 × 14,100
  4. Step 4: Simplify right side
    53,543.16x = 1,132,493,529
  5. Step 5: Solve for x
    x = 1,132,493,529/53,543.16
  6. Step 6: Final answer
    x = 21,151.04

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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.