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Finding the Fourth Proportional to 51,602, 77,338.24 and 27,908.60

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Solution

The fourth proportional to 51,602, 77,338.24 and 27,908.60 is: 41,827.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,602 : 77,338.24 = 27,908.60 : x
  2. Step 2: Convert to fraction form
    51,602/77,338.24 = 27,908.60/x
  3. Step 3: Cross multiply
    51,602x = 77,338.24 × 27,908.60
  4. Step 4: Simplify right side
    51,602x = 2,158,402,004.86
  5. Step 5: Solve for x
    x = 2,158,402,004.86/51,602
  6. Step 6: Final answer
    x = 41,827.87

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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.