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Finding the Fourth Proportional to 29,178.66, 40,270.14 and 16,600.98

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Solution

The fourth proportional to 29,178.66, 40,270.14 and 16,600.98 is: 22,911.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,178.66 : 40,270.14 = 16,600.98 : x
  2. Step 2: Convert to fraction form
    29,178.66/40,270.14 = 16,600.98/x
  3. Step 3: Cross multiply
    29,178.66x = 40,270.14 × 16,600.98
  4. Step 4: Simplify right side
    29,178.66x = 668,523,788.74
  5. Step 5: Solve for x
    x = 668,523,788.74/29,178.66
  6. Step 6: Final answer
    x = 22,911.39

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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.