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Finding the Fourth Proportional to 54,686.70, 82,068.45 and 23,544.30

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Solution

The fourth proportional to 54,686.70, 82,068.45 and 23,544.30 is: 35,332.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,686.70 : 82,068.45 = 23,544.30 : x
  2. Step 2: Convert to fraction form
    54,686.70/82,068.45 = 23,544.30/x
  3. Step 3: Cross multiply
    54,686.70x = 82,068.45 × 23,544.30
  4. Step 4: Simplify right side
    54,686.70x = 1,932,244,207.34
  5. Step 5: Solve for x
    x = 1,932,244,207.34/54,686.70
  6. Step 6: Final answer
    x = 35,332.98

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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.