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Finding the Fourth Proportional to 43,865.91, 65,807.74 and 14,275.80

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Solution

The fourth proportional to 43,865.91, 65,807.74 and 14,275.80 is: 21,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,865.91 : 65,807.74 = 14,275.80 : x
  2. Step 2: Convert to fraction form
    43,865.91/65,807.74 = 14,275.80/x
  3. Step 3: Cross multiply
    43,865.91x = 65,807.74 × 14,275.80
  4. Step 4: Simplify right side
    43,865.91x = 939,458,134.69
  5. Step 5: Solve for x
    x = 939,458,134.69/43,865.91
  6. Step 6: Final answer
    x = 21,416.59

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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.