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Finding the Fourth Proportional to 29,119, 40,185.64 and 16,376.20

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Solution

The fourth proportional to 29,119, 40,185.64 and 16,376.20 is: 22,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,119 : 40,185.64 = 16,376.20 : x
  2. Step 2: Convert to fraction form
    29,119/40,185.64 = 16,376.20/x
  3. Step 3: Cross multiply
    29,119x = 40,185.64 × 16,376.20
  4. Step 4: Simplify right side
    29,119x = 658,087,876.84
  5. Step 5: Solve for x
    x = 658,087,876.84/29,119
  6. Step 6: Final answer
    x = 22,599.95

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Why These Related Problems?

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