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Finding the Fourth Proportional to 29,225, 43,837.50 and 9,769

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Solution

The fourth proportional to 29,225, 43,837.50 and 9,769 is: 14,653.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,225 : 43,837.50 = 9,769 : x
  2. Step 2: Convert to fraction form
    29,225/43,837.50 = 9,769/x
  3. Step 3: Cross multiply
    29,225x = 43,837.50 × 9,769
  4. Step 4: Simplify right side
    29,225x = 428,248,537.50
  5. Step 5: Solve for x
    x = 428,248,537.50/29,225
  6. Step 6: Final answer
    x = 14,653.50

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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.