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Finding the Fourth Proportional to 54,798.16, 82,195.72 and 14,821.02

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Solution

The fourth proportional to 54,798.16, 82,195.72 and 14,821.02 is: 22,231.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,798.16 : 82,195.72 = 14,821.02 : x
  2. Step 2: Convert to fraction form
    54,798.16/82,195.72 = 14,821.02/x
  3. Step 3: Cross multiply
    54,798.16x = 82,195.72 × 14,821.02
  4. Step 4: Simplify right side
    54,798.16x = 1,218,224,410.03
  5. Step 5: Solve for x
    x = 1,218,224,410.03/54,798.16
  6. Step 6: Final answer
    x = 22,231.12

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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.