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Finding the Fourth Proportional to 35,296.50, 48,709.17 and 20,392.50

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Solution

The fourth proportional to 35,296.50, 48,709.17 and 20,392.50 is: 28,141.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,296.50 : 48,709.17 = 20,392.50 : x
  2. Step 2: Convert to fraction form
    35,296.50/48,709.17 = 20,392.50/x
  3. Step 3: Cross multiply
    35,296.50x = 48,709.17 × 20,392.50
  4. Step 4: Simplify right side
    35,296.50x = 993,301,749.23
  5. Step 5: Solve for x
    x = 993,301,749.23/35,296.50
  6. Step 6: Final answer
    x = 28,141.65

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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.