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Finding the Fourth Proportional to 43,645.44, 65,478.64 and 14,066.08

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Solution

The fourth proportional to 43,645.44, 65,478.64 and 14,066.08 is: 21,102.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,645.44 : 65,478.64 = 14,066.08 : x
  2. Step 2: Convert to fraction form
    43,645.44/65,478.64 = 14,066.08/x
  3. Step 3: Cross multiply
    43,645.44x = 65,478.64 × 14,066.08
  4. Step 4: Simplify right side
    43,645.44x = 921,027,788.53
  5. Step 5: Solve for x
    x = 921,027,788.53/43,645.44
  6. Step 6: Final answer
    x = 21,102.50

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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.