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Finding the Fourth Proportional to 51,415.20, 77,122.80 and 23,713.20

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Solution

The fourth proportional to 51,415.20, 77,122.80 and 23,713.20 is: 35,569.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,415.20 : 77,122.80 = 23,713.20 : x
  2. Step 2: Convert to fraction form
    51,415.20/77,122.80 = 23,713.20/x
  3. Step 3: Cross multiply
    51,415.20x = 77,122.80 × 23,713.20
  4. Step 4: Simplify right side
    51,415.20x = 1,828,828,380.96
  5. Step 5: Solve for x
    x = 1,828,828,380.96/51,415.20
  6. Step 6: Final answer
    x = 35,569.80

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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.