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Finding the Fourth Proportional to 53,729.04, 80,572.50 and 31,548

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Solution

The fourth proportional to 53,729.04, 80,572.50 and 31,548 is: 47,309.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,729.04 : 80,572.50 = 31,548 : x
  2. Step 2: Convert to fraction form
    53,729.04/80,572.50 = 31,548/x
  3. Step 3: Cross multiply
    53,729.04x = 80,572.50 × 31,548
  4. Step 4: Simplify right side
    53,729.04x = 2,541,901,230
  5. Step 5: Solve for x
    x = 2,541,901,230/53,729.04
  6. Step 6: Final answer
    x = 47,309.63

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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.