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Finding the Fourth Proportional to 43,591.64, 65,387 and 14,009.50

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Solution

The fourth proportional to 43,591.64, 65,387 and 14,009.50 is: 21,014.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,591.64 : 65,387 = 14,009.50 : x
  2. Step 2: Convert to fraction form
    43,591.64/65,387 = 14,009.50/x
  3. Step 3: Cross multiply
    43,591.64x = 65,387 × 14,009.50
  4. Step 4: Simplify right side
    43,591.64x = 916,039,176.50
  5. Step 5: Solve for x
    x = 916,039,176.50/43,591.64
  6. Step 6: Final answer
    x = 21,014.10

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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.