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Finding the Fourth Proportional to 54,017.76, 81,035.28 and 22,853.28

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Solution

The fourth proportional to 54,017.76, 81,035.28 and 22,853.28 is: 34,283.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,017.76 : 81,035.28 = 22,853.28 : x
  2. Step 2: Convert to fraction form
    54,017.76/81,035.28 = 22,853.28/x
  3. Step 3: Cross multiply
    54,017.76x = 81,035.28 × 22,853.28
  4. Step 4: Simplify right side
    54,017.76x = 1,851,921,943.72
  5. Step 5: Solve for x
    x = 1,851,921,943.72/54,017.76
  6. Step 6: Final answer
    x = 34,283.58

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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.