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Finding the Fourth Proportional to 29,907.70, 41,272.76 and 16,478.31

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Solution

The fourth proportional to 29,907.70, 41,272.76 and 16,478.31 is: 22,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,907.70 : 41,272.76 = 16,478.31 : x
  2. Step 2: Convert to fraction form
    29,907.70/41,272.76 = 16,478.31/x
  3. Step 3: Cross multiply
    29,907.70x = 41,272.76 × 16,478.31
  4. Step 4: Simplify right side
    29,907.70x = 680,105,333.84
  5. Step 5: Solve for x
    x = 680,105,333.84/29,907.70
  6. Step 6: Final answer
    x = 22,740.14

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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.