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Finding the Fourth Proportional to 55,165.26, 76,128.21 and 30,014.76

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Solution

The fourth proportional to 55,165.26, 76,128.21 and 30,014.76 is: 41,420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,165.26 : 76,128.21 = 30,014.76 : x
  2. Step 2: Convert to fraction form
    55,165.26/76,128.21 = 30,014.76/x
  3. Step 3: Cross multiply
    55,165.26x = 76,128.21 × 30,014.76
  4. Step 4: Simplify right side
    55,165.26x = 2,284,969,952.38
  5. Step 5: Solve for x
    x = 2,284,969,952.38/55,165.26
  6. Step 6: Final answer
    x = 41,420.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.