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Finding the Fourth Proportional to 43,793.40, 65,699.70 and 14,206.20

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Solution

The fourth proportional to 43,793.40, 65,699.70 and 14,206.20 is: 21,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,793.40 : 65,699.70 = 14,206.20 : x
  2. Step 2: Convert to fraction form
    43,793.40/65,699.70 = 14,206.20/x
  3. Step 3: Cross multiply
    43,793.40x = 65,699.70 × 14,206.20
  4. Step 4: Simplify right side
    43,793.40x = 933,343,078.14
  5. Step 5: Solve for x
    x = 933,343,078.14/43,793.40
  6. Step 6: Final answer
    x = 21,312.41

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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.