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Finding the Fourth Proportional to 29,196, 43,800.90 and 9,474.52

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Solution

The fourth proportional to 29,196, 43,800.90 and 9,474.52 is: 14,214.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,196 : 43,800.90 = 9,474.52 : x
  2. Step 2: Convert to fraction form
    29,196/43,800.90 = 9,474.52/x
  3. Step 3: Cross multiply
    29,196x = 43,800.90 × 9,474.52
  4. Step 4: Simplify right side
    29,196x = 414,992,503.07
  5. Step 5: Solve for x
    x = 414,992,503.07/29,196
  6. Step 6: Final answer
    x = 14,214.02

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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.