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Finding the Fourth Proportional to 53,917.20, 80,875.80 and 48,214.80

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Solution

The fourth proportional to 53,917.20, 80,875.80 and 48,214.80 is: 72,322.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,917.20 : 80,875.80 = 48,214.80 : x
  2. Step 2: Convert to fraction form
    53,917.20/80,875.80 = 48,214.80/x
  3. Step 3: Cross multiply
    53,917.20x = 80,875.80 × 48,214.80
  4. Step 4: Simplify right side
    53,917.20x = 3,899,410,521.84
  5. Step 5: Solve for x
    x = 3,899,410,521.84/53,917.20
  6. Step 6: Final answer
    x = 72,322.20

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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.