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Finding the Fourth Proportional to 51,784.56, 77,702.64 and 23,704.56

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Solution

The fourth proportional to 51,784.56, 77,702.64 and 23,704.56 is: 35,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,784.56 : 77,702.64 = 23,704.56 : x
  2. Step 2: Convert to fraction form
    51,784.56/77,702.64 = 23,704.56/x
  3. Step 3: Cross multiply
    51,784.56x = 77,702.64 × 23,704.56
  4. Step 4: Simplify right side
    51,784.56x = 1,841,906,892.04
  5. Step 5: Solve for x
    x = 1,841,906,892.04/51,784.56
  6. Step 6: Final answer
    x = 35,568.65

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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.