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Finding the Fourth Proportional to 33,046.10, 49,572 and 9,353.91

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Solution

The fourth proportional to 33,046.10, 49,572 and 9,353.91 is: 14,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,046.10 : 49,572 = 9,353.91 : x
  2. Step 2: Convert to fraction form
    33,046.10/49,572 = 9,353.91/x
  3. Step 3: Cross multiply
    33,046.10x = 49,572 × 9,353.91
  4. Step 4: Simplify right side
    33,046.10x = 463,692,026.52
  5. Step 5: Solve for x
    x = 463,692,026.52/33,046.10
  6. Step 6: Final answer
    x = 14,031.67

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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.