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Finding the Fourth Proportional to 89,554.23, 123,543.39 and 53,682

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Solution

The fourth proportional to 89,554.23, 123,543.39 and 53,682 is: 74,056.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,554.23 : 123,543.39 = 53,682 : x
  2. Step 2: Convert to fraction form
    89,554.23/123,543.39 = 53,682/x
  3. Step 3: Cross multiply
    89,554.23x = 123,543.39 × 53,682
  4. Step 4: Simplify right side
    89,554.23x = 6,632,056,261.98
  5. Step 5: Solve for x
    x = 6,632,056,261.98/89,554.23
  6. Step 6: Final answer
    x = 74,056.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.