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Finding the Fourth Proportional to 54,758.45, 82,146.54 and 21,460.46

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Solution

The fourth proportional to 54,758.45, 82,146.54 and 21,460.46 is: 32,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,758.45 : 82,146.54 = 21,460.46 : x
  2. Step 2: Convert to fraction form
    54,758.45/82,146.54 = 21,460.46/x
  3. Step 3: Cross multiply
    54,758.45x = 82,146.54 × 21,460.46
  4. Step 4: Simplify right side
    54,758.45x = 1,762,902,535.81
  5. Step 5: Solve for x
    x = 1,762,902,535.81/54,758.45
  6. Step 6: Final answer
    x = 32,194.16

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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.