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Finding the Fourth Proportional to 43,805.60, 65,724.60 and 14,224.40

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Solution

The fourth proportional to 43,805.60, 65,724.60 and 14,224.40 is: 21,341.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,805.60 : 65,724.60 = 14,224.40 : x
  2. Step 2: Convert to fraction form
    43,805.60/65,724.60 = 14,224.40/x
  3. Step 3: Cross multiply
    43,805.60x = 65,724.60 × 14,224.40
  4. Step 4: Simplify right side
    43,805.60x = 934,893,000.24
  5. Step 5: Solve for x
    x = 934,893,000.24/43,805.60
  6. Step 6: Final answer
    x = 21,341.86

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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.