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Finding the Fourth Proportional to 53,978.40, 80,932.40 and 48,448.80

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Solution

The fourth proportional to 53,978.40, 80,932.40 and 48,448.80 is: 72,641.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,978.40 : 80,932.40 = 48,448.80 : x
  2. Step 2: Convert to fraction form
    53,978.40/80,932.40 = 48,448.80/x
  3. Step 3: Cross multiply
    53,978.40x = 80,932.40 × 48,448.80
  4. Step 4: Simplify right side
    53,978.40x = 3,921,077,661.12
  5. Step 5: Solve for x
    x = 3,921,077,661.12/53,978.40
  6. Step 6: Final answer
    x = 72,641.61

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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.