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Finding the Fourth Proportional to 34,169.28, 51,256.08 and 14,445.24

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Solution

The fourth proportional to 34,169.28, 51,256.08 and 14,445.24 is: 21,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,169.28 : 51,256.08 = 14,445.24 : x
  2. Step 2: Convert to fraction form
    34,169.28/51,256.08 = 14,445.24/x
  3. Step 3: Cross multiply
    34,169.28x = 51,256.08 × 14,445.24
  4. Step 4: Simplify right side
    34,169.28x = 740,406,377.06
  5. Step 5: Solve for x
    x = 740,406,377.06/34,169.28
  6. Step 6: Final answer
    x = 21,668.77

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