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Finding the Fourth Proportional to 43,971.64, 65,971.58 and 14,382.74

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Solution

The fourth proportional to 43,971.64, 65,971.58 and 14,382.74 is: 21,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,971.64 : 65,971.58 = 14,382.74 : x
  2. Step 2: Convert to fraction form
    43,971.64/65,971.58 = 14,382.74/x
  3. Step 3: Cross multiply
    43,971.64x = 65,971.58 × 14,382.74
  4. Step 4: Simplify right side
    43,971.64x = 948,852,082.53
  5. Step 5: Solve for x
    x = 948,852,082.53/43,971.64
  6. Step 6: Final answer
    x = 21,578.73

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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.