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Finding the Fourth Proportional to 52,013, 78,006.44 and 14,563.38

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Solution

The fourth proportional to 52,013, 78,006.44 and 14,563.38 is: 21,841.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,013 : 78,006.44 = 14,563.38 : x
  2. Step 2: Convert to fraction form
    52,013/78,006.44 = 14,563.38/x
  3. Step 3: Cross multiply
    52,013x = 78,006.44 × 14,563.38
  4. Step 4: Simplify right side
    52,013x = 1,136,037,428.17
  5. Step 5: Solve for x
    x = 1,136,037,428.17/52,013
  6. Step 6: Final answer
    x = 21,841.41

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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.