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Finding the Fourth Proportional to 54,200.44, 74,822.16 and 40,776.80

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Solution

The fourth proportional to 54,200.44, 74,822.16 and 40,776.80 is: 56,291.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,200.44 : 74,822.16 = 40,776.80 : x
  2. Step 2: Convert to fraction form
    54,200.44/74,822.16 = 40,776.80/x
  3. Step 3: Cross multiply
    54,200.44x = 74,822.16 × 40,776.80
  4. Step 4: Simplify right side
    54,200.44x = 3,051,008,253.89
  5. Step 5: Solve for x
    x = 3,051,008,253.89/54,200.44
  6. Step 6: Final answer
    x = 56,291.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.