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Finding the Fourth Proportional to 29,051.63, 43,578.05 and 8,275.13

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Solution

The fourth proportional to 29,051.63, 43,578.05 and 8,275.13 is: 12,412.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,051.63 : 43,578.05 = 8,275.13 : x
  2. Step 2: Convert to fraction form
    29,051.63/43,578.05 = 8,275.13/x
  3. Step 3: Cross multiply
    29,051.63x = 43,578.05 × 8,275.13
  4. Step 4: Simplify right side
    29,051.63x = 360,613,769.63
  5. Step 5: Solve for x
    x = 360,613,769.63/29,051.63
  6. Step 6: Final answer
    x = 12,412.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.