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Finding the Fourth Proportional to 35,506.41, 53,250.27 and 16,781.41

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Solution

The fourth proportional to 35,506.41, 53,250.27 and 16,781.41 is: 25,167.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,506.41 : 53,250.27 = 16,781.41 : x
  2. Step 2: Convert to fraction form
    35,506.41/53,250.27 = 16,781.41/x
  3. Step 3: Cross multiply
    35,506.41x = 53,250.27 × 16,781.41
  4. Step 4: Simplify right side
    35,506.41x = 893,614,613.48
  5. Step 5: Solve for x
    x = 893,614,613.48/35,506.41
  6. Step 6: Final answer
    x = 25,167.70

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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.