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Finding the Fourth Proportional to 43,432.50, 65,149.02 and 12,268.02

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Solution

The fourth proportional to 43,432.50, 65,149.02 and 12,268.02 is: 18,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,432.50 : 65,149.02 = 12,268.02 : x
  2. Step 2: Convert to fraction form
    43,432.50/65,149.02 = 12,268.02/x
  3. Step 3: Cross multiply
    43,432.50x = 65,149.02 × 12,268.02
  4. Step 4: Simplify right side
    43,432.50x = 799,249,480.34
  5. Step 5: Solve for x
    x = 799,249,480.34/43,432.50
  6. Step 6: Final answer
    x = 18,402.11

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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.