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Finding the Fourth Proportional to 55,415.10, 83,122.65 and 51,138.30

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Solution

The fourth proportional to 55,415.10, 83,122.65 and 51,138.30 is: 76,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,415.10 : 83,122.65 = 51,138.30 : x
  2. Step 2: Convert to fraction form
    55,415.10/83,122.65 = 51,138.30/x
  3. Step 3: Cross multiply
    55,415.10x = 83,122.65 × 51,138.30
  4. Step 4: Simplify right side
    55,415.10x = 4,250,751,012.50
  5. Step 5: Solve for x
    x = 4,250,751,012.50/55,415.10
  6. Step 6: Final answer
    x = 76,707.45

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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.