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Finding the Fourth Proportional to 189,209.52, 283,806 and 47,051.82

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Solution

The fourth proportional to 189,209.52, 283,806 and 47,051.82 is: 70,575.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,209.52 : 283,806 = 47,051.82 : x
  2. Step 2: Convert to fraction form
    189,209.52/283,806 = 47,051.82/x
  3. Step 3: Cross multiply
    189,209.52x = 283,806 × 47,051.82
  4. Step 4: Simplify right side
    189,209.52x = 13,353,588,826.92
  5. Step 5: Solve for x
    x = 13,353,588,826.92/189,209.52
  6. Step 6: Final answer
    x = 70,575.67

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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.