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Finding the Fourth Proportional to 37,688.42, 52,010.64 and 20,694.24

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Solution

The fourth proportional to 37,688.42, 52,010.64 and 20,694.24 is: 28,558.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,688.42 : 52,010.64 = 20,694.24 : x
  2. Step 2: Convert to fraction form
    37,688.42/52,010.64 = 20,694.24/x
  3. Step 3: Cross multiply
    37,688.42x = 52,010.64 × 20,694.24
  4. Step 4: Simplify right side
    37,688.42x = 1,076,320,666.71
  5. Step 5: Solve for x
    x = 1,076,320,666.71/37,688.42
  6. Step 6: Final answer
    x = 28,558.39

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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.