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Finding the Fourth Proportional to 29,260, 43,890.52 and 9,538.48

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Solution

The fourth proportional to 29,260, 43,890.52 and 9,538.48 is: 14,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,260 : 43,890.52 = 9,538.48 : x
  2. Step 2: Convert to fraction form
    29,260/43,890.52 = 9,538.48/x
  3. Step 3: Cross multiply
    29,260x = 43,890.52 × 9,538.48
  4. Step 4: Simplify right side
    29,260x = 418,648,847.21
  5. Step 5: Solve for x
    x = 418,648,847.21/29,260
  6. Step 6: Final answer
    x = 14,307.89

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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.