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Finding the Fourth Proportional to 54,859.16, 82,291.58 and 17,422.16

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Solution

The fourth proportional to 54,859.16, 82,291.58 and 17,422.16 is: 26,134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,859.16 : 82,291.58 = 17,422.16 : x
  2. Step 2: Convert to fraction form
    54,859.16/82,291.58 = 17,422.16/x
  3. Step 3: Cross multiply
    54,859.16x = 82,291.58 × 17,422.16
  4. Step 4: Simplify right side
    54,859.16x = 1,433,696,574.84
  5. Step 5: Solve for x
    x = 1,433,696,574.84/54,859.16
  6. Step 6: Final answer
    x = 26,134.14

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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.