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Finding the Fourth Proportional to 43,588.48, 65,376.24 and 15,880

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Solution

The fourth proportional to 43,588.48, 65,376.24 and 15,880 is: 23,817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,588.48 : 65,376.24 = 15,880 : x
  2. Step 2: Convert to fraction form
    43,588.48/65,376.24 = 15,880/x
  3. Step 3: Cross multiply
    43,588.48x = 65,376.24 × 15,880
  4. Step 4: Simplify right side
    43,588.48x = 1,038,174,691.20
  5. Step 5: Solve for x
    x = 1,038,174,691.20/43,588.48
  6. Step 6: Final answer
    x = 23,817.64

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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.