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Finding the Fourth Proportional to 43,972.64, 65,973.08 and 14,383.74

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Solution

The fourth proportional to 43,972.64, 65,973.08 and 14,383.74 is: 21,580.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,972.64 : 65,973.08 = 14,383.74 : x
  2. Step 2: Convert to fraction form
    43,972.64/65,973.08 = 14,383.74/x
  3. Step 3: Cross multiply
    43,972.64x = 65,973.08 × 14,383.74
  4. Step 4: Simplify right side
    43,972.64x = 948,939,629.72
  5. Step 5: Solve for x
    x = 948,939,629.72/43,972.64
  6. Step 6: Final answer
    x = 21,580.23

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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.