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Finding the Fourth Proportional to 37,182.98, 51,312.89 and 20,187.38

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Solution

The fourth proportional to 37,182.98, 51,312.89 and 20,187.38 is: 27,858.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,182.98 : 51,312.89 = 20,187.38 : x
  2. Step 2: Convert to fraction form
    37,182.98/51,312.89 = 20,187.38/x
  3. Step 3: Cross multiply
    37,182.98x = 51,312.89 × 20,187.38
  4. Step 4: Simplify right side
    37,182.98x = 1,035,872,988.08
  5. Step 5: Solve for x
    x = 1,035,872,988.08/37,182.98
  6. Step 6: Final answer
    x = 27,858.79

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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.