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Finding the Fourth Proportional to 43,871.72, 65,792.04 and 14,284.04

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Solution

The fourth proportional to 43,871.72, 65,792.04 and 14,284.04 is: 21,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,871.72 : 65,792.04 = 14,284.04 : x
  2. Step 2: Convert to fraction form
    43,871.72/65,792.04 = 14,284.04/x
  3. Step 3: Cross multiply
    43,871.72x = 65,792.04 × 14,284.04
  4. Step 4: Simplify right side
    43,871.72x = 939,776,131.04
  5. Step 5: Solve for x
    x = 939,776,131.04/43,871.72
  6. Step 6: Final answer
    x = 21,421.00

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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.