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Finding the Fourth Proportional to 53,543.66, 80,319.44 and 14,100.50

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Solution

The fourth proportional to 53,543.66, 80,319.44 and 14,100.50 is: 21,151.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,543.66 : 80,319.44 = 14,100.50 : x
  2. Step 2: Convert to fraction form
    53,543.66/80,319.44 = 14,100.50/x
  3. Step 3: Cross multiply
    53,543.66x = 80,319.44 × 14,100.50
  4. Step 4: Simplify right side
    53,543.66x = 1,132,544,263.72
  5. Step 5: Solve for x
    x = 1,132,544,263.72/53,543.66
  6. Step 6: Final answer
    x = 21,151.79

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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.