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Finding the Fourth Proportional to 43,878.40, 65,827.20 and 14,291.20

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Solution

The fourth proportional to 43,878.40, 65,827.20 and 14,291.20 is: 21,439.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,878.40 : 65,827.20 = 14,291.20 : x
  2. Step 2: Convert to fraction form
    43,878.40/65,827.20 = 14,291.20/x
  3. Step 3: Cross multiply
    43,878.40x = 65,827.20 × 14,291.20
  4. Step 4: Simplify right side
    43,878.40x = 940,749,680.64
  5. Step 5: Solve for x
    x = 940,749,680.64/43,878.40
  6. Step 6: Final answer
    x = 21,439.93

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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.