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Finding the Fourth Proportional to 43,844.64, 65,759.28 and 14,258.16

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Solution

The fourth proportional to 43,844.64, 65,759.28 and 14,258.16 is: 21,384.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,844.64 : 65,759.28 = 14,258.16 : x
  2. Step 2: Convert to fraction form
    43,844.64/65,759.28 = 14,258.16/x
  3. Step 3: Cross multiply
    43,844.64x = 65,759.28 × 14,258.16
  4. Step 4: Simplify right side
    43,844.64x = 937,606,335.72
  5. Step 5: Solve for x
    x = 937,606,335.72/43,844.64
  6. Step 6: Final answer
    x = 21,384.74

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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.