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Finding the Fourth Proportional to 29,706.75, 40,995.32 and 16,458.75

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Solution

The fourth proportional to 29,706.75, 40,995.32 and 16,458.75 is: 22,713.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.75 : 40,995.32 = 16,458.75 : x
  2. Step 2: Convert to fraction form
    29,706.75/40,995.32 = 16,458.75/x
  3. Step 3: Cross multiply
    29,706.75x = 40,995.32 × 16,458.75
  4. Step 4: Simplify right side
    29,706.75x = 674,731,640.76
  5. Step 5: Solve for x
    x = 674,731,640.76/29,706.75
  6. Step 6: Final answer
    x = 22,713.08

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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.