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Finding the Fourth Proportional to 58,302, 87,471.44 and 20,861.24

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Solution

The fourth proportional to 58,302, 87,471.44 and 20,861.24 is: 31,298.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,302 : 87,471.44 = 20,861.24 : x
  2. Step 2: Convert to fraction form
    58,302/87,471.44 = 20,861.24/x
  3. Step 3: Cross multiply
    58,302x = 87,471.44 × 20,861.24
  4. Step 4: Simplify right side
    58,302x = 1,824,762,702.99
  5. Step 5: Solve for x
    x = 1,824,762,702.99/58,302
  6. Step 6: Final answer
    x = 31,298.46

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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.