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Finding the Fourth Proportional to 32,751.60, 49,086.32 and 14,009.64

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Solution

The fourth proportional to 32,751.60, 49,086.32 and 14,009.64 is: 20,996.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,751.60 : 49,086.32 = 14,009.64 : x
  2. Step 2: Convert to fraction form
    32,751.60/49,086.32 = 14,009.64/x
  3. Step 3: Cross multiply
    32,751.60x = 49,086.32 × 14,009.64
  4. Step 4: Simplify right side
    32,751.60x = 687,681,672.12
  5. Step 5: Solve for x
    x = 687,681,672.12/32,751.60
  6. Step 6: Final answer
    x = 20,996.89

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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.