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Finding the Fourth Proportional to 37,182.56, 51,312 and 20,186.80

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Solution

The fourth proportional to 37,182.56, 51,312 and 20,186.80 is: 27,857.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,182.56 : 51,312 = 20,186.80 : x
  2. Step 2: Convert to fraction form
    37,182.56/51,312 = 20,186.80/x
  3. Step 3: Cross multiply
    37,182.56x = 51,312 × 20,186.80
  4. Step 4: Simplify right side
    37,182.56x = 1,035,825,081.60
  5. Step 5: Solve for x
    x = 1,035,825,081.60/37,182.56
  6. Step 6: Final answer
    x = 27,857.82

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