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Finding the Fourth Proportional to 29,076.57, 40,114.71 and 17,738.19

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Solution

The fourth proportional to 29,076.57, 40,114.71 and 17,738.19 is: 24,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,076.57 : 40,114.71 = 17,738.19 : x
  2. Step 2: Convert to fraction form
    29,076.57/40,114.71 = 17,738.19/x
  3. Step 3: Cross multiply
    29,076.57x = 40,114.71 × 17,738.19
  4. Step 4: Simplify right side
    29,076.57x = 711,562,347.77
  5. Step 5: Solve for x
    x = 711,562,347.77/29,076.57
  6. Step 6: Final answer
    x = 24,472.02

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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.