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Finding the Fourth Proportional to 32,783.64, 49,224.54 and 18,759.48

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Solution

The fourth proportional to 32,783.64, 49,224.54 and 18,759.48 is: 28,167.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,783.64 : 49,224.54 = 18,759.48 : x
  2. Step 2: Convert to fraction form
    32,783.64/49,224.54 = 18,759.48/x
  3. Step 3: Cross multiply
    32,783.64x = 49,224.54 × 18,759.48
  4. Step 4: Simplify right side
    32,783.64x = 923,426,773.64
  5. Step 5: Solve for x
    x = 923,426,773.64/32,783.64
  6. Step 6: Final answer
    x = 28,167.30

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Why These Related Problems?

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