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Finding the Fourth Proportional to 37,782.32, 52,137.54 and 20,783.79

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Solution

The fourth proportional to 37,782.32, 52,137.54 and 20,783.79 is: 28,680.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,782.32 : 52,137.54 = 20,783.79 : x
  2. Step 2: Convert to fraction form
    37,782.32/52,137.54 = 20,783.79/x
  3. Step 3: Cross multiply
    37,782.32x = 52,137.54 × 20,783.79
  4. Step 4: Simplify right side
    37,782.32x = 1,083,615,682.48
  5. Step 5: Solve for x
    x = 1,083,615,682.48/37,782.32
  6. Step 6: Final answer
    x = 28,680.50

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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.