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Finding the Fourth Proportional to 34,781.76, 52,161.84 and 11,403

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Solution

The fourth proportional to 34,781.76, 52,161.84 and 11,403 is: 17,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,781.76 : 52,161.84 = 11,403 : x
  2. Step 2: Convert to fraction form
    34,781.76/52,161.84 = 11,403/x
  3. Step 3: Cross multiply
    34,781.76x = 52,161.84 × 11,403
  4. Step 4: Simplify right side
    34,781.76x = 594,801,461.52
  5. Step 5: Solve for x
    x = 594,801,461.52/34,781.76
  6. Step 6: Final answer
    x = 17,100.96

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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.