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Finding the Fourth Proportional to 55,210.80, 82,816.20 and 48,649.80

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Solution

The fourth proportional to 55,210.80, 82,816.20 and 48,649.80 is: 72,974.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,210.80 : 82,816.20 = 48,649.80 : x
  2. Step 2: Convert to fraction form
    55,210.80/82,816.20 = 48,649.80/x
  3. Step 3: Cross multiply
    55,210.80x = 82,816.20 × 48,649.80
  4. Step 4: Simplify right side
    55,210.80x = 4,028,991,566.76
  5. Step 5: Solve for x
    x = 4,028,991,566.76/55,210.80
  6. Step 6: Final answer
    x = 72,974.70

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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.