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Finding the Fourth Proportional to 30,106.14, 41,548.82 and 16,678.68

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Solution

The fourth proportional to 30,106.14, 41,548.82 and 16,678.68 is: 23,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,106.14 : 41,548.82 = 16,678.68 : x
  2. Step 2: Convert to fraction form
    30,106.14/41,548.82 = 16,678.68/x
  3. Step 3: Cross multiply
    30,106.14x = 41,548.82 × 16,678.68
  4. Step 4: Simplify right side
    30,106.14x = 692,979,473.16
  5. Step 5: Solve for x
    x = 692,979,473.16/30,106.14
  6. Step 6: Final answer
    x = 23,017.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.