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Finding the Fourth Proportional to 37,474.39, 51,715.86 and 20,480.24

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Solution

The fourth proportional to 37,474.39, 51,715.86 and 20,480.24 is: 28,263.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,474.39 : 51,715.86 = 20,480.24 : x
  2. Step 2: Convert to fraction form
    37,474.39/51,715.86 = 20,480.24/x
  3. Step 3: Cross multiply
    37,474.39x = 51,715.86 × 20,480.24
  4. Step 4: Simplify right side
    37,474.39x = 1,059,153,277.10
  5. Step 5: Solve for x
    x = 1,059,153,277.10/37,474.39
  6. Step 6: Final answer
    x = 28,263.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.