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Finding the Fourth Proportional to 30,882.60, 42,618 and 16,735.38

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Solution

The fourth proportional to 30,882.60, 42,618 and 16,735.38 is: 23,094.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,882.60 : 42,618 = 16,735.38 : x
  2. Step 2: Convert to fraction form
    30,882.60/42,618 = 16,735.38/x
  3. Step 3: Cross multiply
    30,882.60x = 42,618 × 16,735.38
  4. Step 4: Simplify right side
    30,882.60x = 713,228,424.84
  5. Step 5: Solve for x
    x = 713,228,424.84/30,882.60
  6. Step 6: Final answer
    x = 23,094.83

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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.