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Finding the Fourth Proportional to 37,743.88, 52,085.48 and 20,748.16

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Solution

The fourth proportional to 37,743.88, 52,085.48 and 20,748.16 is: 28,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,743.88 : 52,085.48 = 20,748.16 : x
  2. Step 2: Convert to fraction form
    37,743.88/52,085.48 = 20,748.16/x
  3. Step 3: Cross multiply
    37,743.88x = 52,085.48 × 20,748.16
  4. Step 4: Simplify right side
    37,743.88x = 1,080,677,657.81
  5. Step 5: Solve for x
    x = 1,080,677,657.81/37,743.88
  6. Step 6: Final answer
    x = 28,631.86

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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.