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Finding the Fourth Proportional to 29,907.70, 41,273.12 and 16,478.76

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Solution

The fourth proportional to 29,907.70, 41,273.12 and 16,478.76 is: 22,740.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,907.70 : 41,273.12 = 16,478.76 : x
  2. Step 2: Convert to fraction form
    29,907.70/41,273.12 = 16,478.76/x
  3. Step 3: Cross multiply
    29,907.70x = 41,273.12 × 16,478.76
  4. Step 4: Simplify right side
    29,907.70x = 680,129,838.93
  5. Step 5: Solve for x
    x = 680,129,838.93/29,907.70
  6. Step 6: Final answer
    x = 22,740.96

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1.5x scale

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.