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Finding the Fourth Proportional to 29,042.34, 43,554 and 9,316.20

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Solution

The fourth proportional to 29,042.34, 43,554 and 9,316.20 is: 13,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,042.34 : 43,554 = 9,316.20 : x
  2. Step 2: Convert to fraction form
    29,042.34/43,554 = 9,316.20/x
  3. Step 3: Cross multiply
    29,042.34x = 43,554 × 9,316.20
  4. Step 4: Simplify right side
    29,042.34x = 405,757,774.80
  5. Step 5: Solve for x
    x = 405,757,774.80/29,042.34
  6. Step 6: Final answer
    x = 13,971.25

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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.