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Finding the Fourth Proportional to 54,651.66, 81,980.40 and 17,214.66

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Solution

The fourth proportional to 54,651.66, 81,980.40 and 17,214.66 is: 25,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,651.66 : 81,980.40 = 17,214.66 : x
  2. Step 2: Convert to fraction form
    54,651.66/81,980.40 = 17,214.66/x
  3. Step 3: Cross multiply
    54,651.66x = 81,980.40 × 17,214.66
  4. Step 4: Simplify right side
    54,651.66x = 1,411,264,712.66
  5. Step 5: Solve for x
    x = 1,411,264,712.66/54,651.66
  6. Step 6: Final answer
    x = 25,822.91

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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.