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Finding the Fourth Proportional to 54,862.49, 82,262.94 and 17,415.59

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Solution

The fourth proportional to 54,862.49, 82,262.94 and 17,415.59 is: 26,113.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,862.49 : 82,262.94 = 17,415.59 : x
  2. Step 2: Convert to fraction form
    54,862.49/82,262.94 = 17,415.59/x
  3. Step 3: Cross multiply
    54,862.49x = 82,262.94 × 17,415.59
  4. Step 4: Simplify right side
    54,862.49x = 1,432,657,223.92
  5. Step 5: Solve for x
    x = 1,432,657,223.92/54,862.49
  6. Step 6: Final answer
    x = 26,113.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.