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Finding the Fourth Proportional to 34,303.34, 47,338.52 and 20,164.34

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Solution

The fourth proportional to 34,303.34, 47,338.52 and 20,164.34 is: 27,826.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,303.34 : 47,338.52 = 20,164.34 : x
  2. Step 2: Convert to fraction form
    34,303.34/47,338.52 = 20,164.34/x
  3. Step 3: Cross multiply
    34,303.34x = 47,338.52 × 20,164.34
  4. Step 4: Simplify right side
    34,303.34x = 954,550,012.38
  5. Step 5: Solve for x
    x = 954,550,012.38/34,303.34
  6. Step 6: Final answer
    x = 27,826.74

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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.