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Finding the Fourth Proportional to 30,185.61, 41,654.16 and 16,756.87

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Solution

The fourth proportional to 30,185.61, 41,654.16 and 16,756.87 is: 23,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,185.61 : 41,654.16 = 16,756.87 : x
  2. Step 2: Convert to fraction form
    30,185.61/41,654.16 = 16,756.87/x
  3. Step 3: Cross multiply
    30,185.61x = 41,654.16 × 16,756.87
  4. Step 4: Simplify right side
    30,185.61x = 697,993,344.08
  5. Step 5: Solve for x
    x = 697,993,344.08/30,185.61
  6. Step 6: Final answer
    x = 23,123.38

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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.