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Finding the Fourth Proportional to 43,683.76, 65,509.03 and 14,097.16

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Solution

The fourth proportional to 43,683.76, 65,509.03 and 14,097.16 is: 21,140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,683.76 : 65,509.03 = 14,097.16 : x
  2. Step 2: Convert to fraction form
    43,683.76/65,509.03 = 14,097.16/x
  3. Step 3: Cross multiply
    43,683.76x = 65,509.03 × 14,097.16
  4. Step 4: Simplify right side
    43,683.76x = 923,491,277.35
  5. Step 5: Solve for x
    x = 923,491,277.35/43,683.76
  6. Step 6: Final answer
    x = 21,140.38

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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.