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Finding the Fourth Proportional to 29,039.64, 43,549.92 and 9,313.50

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Solution

The fourth proportional to 29,039.64, 43,549.92 and 9,313.50 is: 13,967.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,039.64 : 43,549.92 = 9,313.50 : x
  2. Step 2: Convert to fraction form
    29,039.64/43,549.92 = 9,313.50/x
  3. Step 3: Cross multiply
    29,039.64x = 43,549.92 × 9,313.50
  4. Step 4: Simplify right side
    29,039.64x = 405,602,179.92
  5. Step 5: Solve for x
    x = 405,602,179.92/29,039.64
  6. Step 6: Final answer
    x = 13,967.19

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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.