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Finding the Fourth Proportional to 38,646.50, 57,986.43 and 20,873.63

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Solution

The fourth proportional to 38,646.50, 57,986.43 and 20,873.63 is: 31,319.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,646.50 : 57,986.43 = 20,873.63 : x
  2. Step 2: Convert to fraction form
    38,646.50/57,986.43 = 20,873.63/x
  3. Step 3: Cross multiply
    38,646.50x = 57,986.43 × 20,873.63
  4. Step 4: Simplify right side
    38,646.50x = 1,210,387,284.84
  5. Step 5: Solve for x
    x = 1,210,387,284.84/38,646.50
  6. Step 6: Final answer
    x = 31,319.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.