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Finding the Fourth Proportional to 29,671.84, 40,957.44 and 18,350

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Solution

The fourth proportional to 29,671.84, 40,957.44 and 18,350 is: 25,329.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,671.84 : 40,957.44 = 18,350 : x
  2. Step 2: Convert to fraction form
    29,671.84/40,957.44 = 18,350/x
  3. Step 3: Cross multiply
    29,671.84x = 40,957.44 × 18,350
  4. Step 4: Simplify right side
    29,671.84x = 751,569,024
  5. Step 5: Solve for x
    x = 751,569,024/29,671.84
  6. Step 6: Final answer
    x = 25,329.37

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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.