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Finding the Fourth Proportional to 37,783.64, 52,139.22 and 20,784.98

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Solution

The fourth proportional to 37,783.64, 52,139.22 and 20,784.98 is: 28,682.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783.64 : 52,139.22 = 20,784.98 : x
  2. Step 2: Convert to fraction form
    37,783.64/52,139.22 = 20,784.98/x
  3. Step 3: Cross multiply
    37,783.64x = 52,139.22 × 20,784.98
  4. Step 4: Simplify right side
    37,783.64x = 1,083,712,644.92
  5. Step 5: Solve for x
    x = 1,083,712,644.92/37,783.64
  6. Step 6: Final answer
    x = 28,682.06

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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.