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Finding the Fourth Proportional to 55,264.50, 76,265.01 and 30,114

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Solution

The fourth proportional to 55,264.50, 76,265.01 and 30,114 is: 41,557.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,264.50 : 76,265.01 = 30,114 : x
  2. Step 2: Convert to fraction form
    55,264.50/76,265.01 = 30,114/x
  3. Step 3: Cross multiply
    55,264.50x = 76,265.01 × 30,114
  4. Step 4: Simplify right side
    55,264.50x = 2,296,644,511.14
  5. Step 5: Solve for x
    x = 2,296,644,511.14/55,264.50
  6. Step 6: Final answer
    x = 41,557.32

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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.