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Finding the Fourth Proportional to 53,538, 80,311.95 and 14,095.32

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Solution

The fourth proportional to 53,538, 80,311.95 and 14,095.32 is: 21,144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538 : 80,311.95 = 14,095.32 : x
  2. Step 2: Convert to fraction form
    53,538/80,311.95 = 14,095.32/x
  3. Step 3: Cross multiply
    53,538x = 80,311.95 × 14,095.32
  4. Step 4: Simplify right side
    53,538x = 1,132,022,635.07
  5. Step 5: Solve for x
    x = 1,132,022,635.07/53,538
  6. Step 6: Final answer
    x = 21,144.28

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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.