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Finding the Fourth Proportional to 29,134.50, 43,698.03 and 9,411

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Solution

The fourth proportional to 29,134.50, 43,698.03 and 9,411 is: 14,115.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,134.50 : 43,698.03 = 9,411 : x
  2. Step 2: Convert to fraction form
    29,134.50/43,698.03 = 9,411/x
  3. Step 3: Cross multiply
    29,134.50x = 43,698.03 × 9,411
  4. Step 4: Simplify right side
    29,134.50x = 411,242,160.33
  5. Step 5: Solve for x
    x = 411,242,160.33/29,134.50
  6. Step 6: Final answer
    x = 14,115.30

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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.