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Finding the Fourth Proportional to 31,069.16, 42,861.80 and 20,993.92

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Solution

The fourth proportional to 31,069.16, 42,861.80 and 20,993.92 is: 28,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,069.16 : 42,861.80 = 20,993.92 : x
  2. Step 2: Convert to fraction form
    31,069.16/42,861.80 = 20,993.92/x
  3. Step 3: Cross multiply
    31,069.16x = 42,861.80 × 20,993.92
  4. Step 4: Simplify right side
    31,069.16x = 899,837,095.29
  5. Step 5: Solve for x
    x = 899,837,095.29/31,069.16
  6. Step 6: Final answer
    x = 28,962.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.