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Finding the Fourth Proportional to 43,784.62, 65,686.14 and 14,200.14

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Solution

The fourth proportional to 43,784.62, 65,686.14 and 14,200.14 is: 21,303.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,784.62 : 65,686.14 = 14,200.14 : x
  2. Step 2: Convert to fraction form
    43,784.62/65,686.14 = 14,200.14/x
  3. Step 3: Cross multiply
    43,784.62x = 65,686.14 × 14,200.14
  4. Step 4: Simplify right side
    43,784.62x = 932,752,219.84
  5. Step 5: Solve for x
    x = 932,752,219.84/43,784.62
  6. Step 6: Final answer
    x = 21,303.20

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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.