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Finding the Fourth Proportional to 54,707.81, 82,070.82 and 17,259.08

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Solution

The fourth proportional to 54,707.81, 82,070.82 and 17,259.08 is: 25,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,707.81 : 82,070.82 = 17,259.08 : x
  2. Step 2: Convert to fraction form
    54,707.81/82,070.82 = 17,259.08/x
  3. Step 3: Cross multiply
    54,707.81x = 82,070.82 × 17,259.08
  4. Step 4: Simplify right side
    54,707.81x = 1,416,466,437.69
  5. Step 5: Solve for x
    x = 1,416,466,437.69/54,707.81
  6. Step 6: Final answer
    x = 25,891.49

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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.