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Finding the Fourth Proportional to 56,482.80, 84,821.40 and 54,733.20

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Solution

The fourth proportional to 56,482.80, 84,821.40 and 54,733.20 is: 82,193.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,482.80 : 84,821.40 = 54,733.20 : x
  2. Step 2: Convert to fraction form
    56,482.80/84,821.40 = 54,733.20/x
  3. Step 3: Cross multiply
    56,482.80x = 84,821.40 × 54,733.20
  4. Step 4: Simplify right side
    56,482.80x = 4,642,546,650.48
  5. Step 5: Solve for x
    x = 4,642,546,650.48/56,482.80
  6. Step 6: Final answer
    x = 82,193.99

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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.