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Finding the Fourth Proportional to 57,618, 86,441.58 and 16,065

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Solution

The fourth proportional to 57,618, 86,441.58 and 16,065 is: 24,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,618 : 86,441.58 = 16,065 : x
  2. Step 2: Convert to fraction form
    57,618/86,441.58 = 16,065/x
  3. Step 3: Cross multiply
    57,618x = 86,441.58 × 16,065
  4. Step 4: Simplify right side
    57,618x = 1,388,683,982.70
  5. Step 5: Solve for x
    x = 1,388,683,982.70/57,618
  6. Step 6: Final answer
    x = 24,101.57

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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.