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Finding the Fourth Proportional to 29,852.64, 41,194.08 and 17,278.08

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Solution

The fourth proportional to 29,852.64, 41,194.08 and 17,278.08 is: 23,842.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,852.64 : 41,194.08 = 17,278.08 : x
  2. Step 2: Convert to fraction form
    29,852.64/41,194.08 = 17,278.08/x
  3. Step 3: Cross multiply
    29,852.64x = 41,194.08 × 17,278.08
  4. Step 4: Simplify right side
    29,852.64x = 711,754,609.77
  5. Step 5: Solve for x
    x = 711,754,609.77/29,852.64
  6. Step 6: Final answer
    x = 23,842.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.