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Finding the Fourth Proportional to 54,818.81, 82,261.01 and 23,654.06

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Solution

The fourth proportional to 54,818.81, 82,261.01 and 23,654.06 is: 35,495.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,818.81 : 82,261.01 = 23,654.06 : x
  2. Step 2: Convert to fraction form
    54,818.81/82,261.01 = 23,654.06/x
  3. Step 3: Cross multiply
    54,818.81x = 82,261.01 × 23,654.06
  4. Step 4: Simplify right side
    54,818.81x = 1,945,806,707.20
  5. Step 5: Solve for x
    x = 1,945,806,707.20/54,818.81
  6. Step 6: Final answer
    x = 35,495.24

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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.