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Finding the Fourth Proportional to 37,054.27, 51,130.09 and 21,137.77

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Solution

The fourth proportional to 37,054.27, 51,130.09 and 21,137.77 is: 29,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,054.27 : 51,130.09 = 21,137.77 : x
  2. Step 2: Convert to fraction form
    37,054.27/51,130.09 = 21,137.77/x
  3. Step 3: Cross multiply
    37,054.27x = 51,130.09 × 21,137.77
  4. Step 4: Simplify right side
    37,054.27x = 1,080,776,082.50
  5. Step 5: Solve for x
    x = 1,080,776,082.50/37,054.27
  6. Step 6: Final answer
    x = 29,167.38

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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.