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Finding the Fourth Proportional to 29,034, 40,071.78 and 16,466.04

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Solution

The fourth proportional to 29,034, 40,071.78 and 16,466.04 is: 22,725.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,034 : 40,071.78 = 16,466.04 : x
  2. Step 2: Convert to fraction form
    29,034/40,071.78 = 16,466.04/x
  3. Step 3: Cross multiply
    29,034x = 40,071.78 × 16,466.04
  4. Step 4: Simplify right side
    29,034x = 659,823,532.35
  5. Step 5: Solve for x
    x = 659,823,532.35/29,034
  6. Step 6: Final answer
    x = 22,725.89

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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.