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Finding the Fourth Proportional to 54,523.70, 75,243.02 and 30,650.16

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Solution

The fourth proportional to 54,523.70, 75,243.02 and 30,650.16 is: 42,297.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,523.70 : 75,243.02 = 30,650.16 : x
  2. Step 2: Convert to fraction form
    54,523.70/75,243.02 = 30,650.16/x
  3. Step 3: Cross multiply
    54,523.70x = 75,243.02 × 30,650.16
  4. Step 4: Simplify right side
    54,523.70x = 2,306,210,448.63
  5. Step 5: Solve for x
    x = 2,306,210,448.63/54,523.70
  6. Step 6: Final answer
    x = 42,297.40

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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.