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Finding the Fourth Proportional to 59,921, 89,881.50 and 16,145

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Solution

The fourth proportional to 59,921, 89,881.50 and 16,145 is: 24,217.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,921 : 89,881.50 = 16,145 : x
  2. Step 2: Convert to fraction form
    59,921/89,881.50 = 16,145/x
  3. Step 3: Cross multiply
    59,921x = 89,881.50 × 16,145
  4. Step 4: Simplify right side
    59,921x = 1,451,136,817.50
  5. Step 5: Solve for x
    x = 1,451,136,817.50/59,921
  6. Step 6: Final answer
    x = 24,217.50

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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.