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Finding the Fourth Proportional to 58,369.88, 87,563.46 and 21,431

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Solution

The fourth proportional to 58,369.88, 87,563.46 and 21,431 is: 32,149.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,369.88 : 87,563.46 = 21,431 : x
  2. Step 2: Convert to fraction form
    58,369.88/87,563.46 = 21,431/x
  3. Step 3: Cross multiply
    58,369.88x = 87,563.46 × 21,431
  4. Step 4: Simplify right side
    58,369.88x = 1,876,572,511.26
  5. Step 5: Solve for x
    x = 1,876,572,511.26/58,369.88
  6. Step 6: Final answer
    x = 32,149.67

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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.