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Finding the Fourth Proportional to 54,798.08, 82,197.12 and 13,245.08

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Solution

The fourth proportional to 54,798.08, 82,197.12 and 13,245.08 is: 19,867.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,798.08 : 82,197.12 = 13,245.08 : x
  2. Step 2: Convert to fraction form
    54,798.08/82,197.12 = 13,245.08/x
  3. Step 3: Cross multiply
    54,798.08x = 82,197.12 × 13,245.08
  4. Step 4: Simplify right side
    54,798.08x = 1,088,707,430.17
  5. Step 5: Solve for x
    x = 1,088,707,430.17/54,798.08
  6. Step 6: Final answer
    x = 19,867.62

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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.