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Finding the Fourth Proportional to 29,852.34, 41,200.02 and 17,274.66

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Solution

The fourth proportional to 29,852.34, 41,200.02 and 17,274.66 is: 23,841.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,852.34 : 41,200.02 = 17,274.66 : x
  2. Step 2: Convert to fraction form
    29,852.34/41,200.02 = 17,274.66/x
  3. Step 3: Cross multiply
    29,852.34x = 41,200.02 × 17,274.66
  4. Step 4: Simplify right side
    29,852.34x = 711,716,337.49
  5. Step 5: Solve for x
    x = 711,716,337.49/29,852.34
  6. Step 6: Final answer
    x = 23,841.22

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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.